Circular motion problem
Hi I was going thru the Circular motion notes in notes@CAT4MBA and found some problem in understanding the following lines , please clarify it with examples. :idea: First Meeting Three or more bodies start moving simultaneously from the same point on the circumference of the circle . They will 1st meet again in the LCM of the times that the fastest runner will takes in totally overlapping each of the slower runners First meeting time = Circumference / Relative velocity :?:
Thanks in advance
math question (time,speed and distance)
plz solve this.. (time,speed and distance) A starts from a point that is on the circumference of a circle, moves 600metre in the North direction and then again moves 800metre East and reaches a point diametrically opposite the starting point.Find the diameter of the circle? (ans-1000m) if get solve,then explain too... thank you.
Q1. A painter takes 5 days to paint a room. How much time it would take him to without the roof , twice as long , twice as broad and twice as high?
Q2.Ann and Betty can do a job in 10 days; Ann and Carol can do the same job in 12 days; Betty and Carol can do the same job in 20 days. How long will it take Carol to do the job alone?
Q3. Subhash can copy 50 pages in 10 hours; Subhash and Prakash together can copy 300 pages in 40 hours. In how much time can prakash copy 30 pages ?
Q4. Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it?
(4)None of these
Q5. A can do a piece of work in 16days and B in 20 days. They worked together for 4 days and then B leaves. In how many days will A finish the remaining work
Q6. Ajit can do as much work in 2 days as Baljit can do in 3 days and Baljit can do as much in 4 days as Diljit in 5 days. A piece of work takes 20 days if all work together. How long would Baljit take to do all the work by himself?
Q7. A and B can complete a piece of work in 8 days, B and C in 12 days, while C and A in 16 days. They work together for 3 days when A leaves of. in how many days more will B and C finish the remaining work?
a)1 1/2 days
b) 2 1/4 days
c) 7 1/8 days
d) 4 1/2 days
Q8. A can do as much work in 2 days as B can do in 3 days and C in 5 days. A piece of work takes 20 days if all work together. How long would B take to do all the work by himself?
Q9. If 18 binders bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?
Q10.A tank is fitted with 8 pipes, some of them that fill the tank and others that are waste pipe meant to empty the tank. Each of the pipes that fill the tank can fill it in 8 hours, while each of those that empty the tank can empty it in 6 hours. If all the pipes are kept open when the tank is full, it will take exactly 6 hours for the tank to empty. How many of these are fill pipes?
Q11. A group of workers were put on a job. After the days work was over, one worker was withdrawn each day. The job was finished when the last worker was withdrawn. If no worker were withdrawn at any stage, the group would have finished the job in two-thirds the time. How many workers were there in the group?
Q12. A rope makes 140 rounds of the circumference of a cylinder whose radius of the base is 14 cms. How many times can it go round a cylinder with radius 20 cms?:
(d)none of these
Q13. During rush hour, Fernando can drive 20 miles using the side roads in the same time that it takes to travel 15 miles on the freeway. If Fernando's rate on the side road is 9 miles per hour faster than is rate on the freeway, find his rate on the side of the road.
Q14.Bucket P has thrice the capacity as bucket Q. it takes 60 turns for bucket P to fill the empty drum. How many turns it will take for both the buckets P and Q, having each turn together to fill the empty drum?
Q1. Pipe A and B running together can fill a cistern in 6 minutes. If B takes 5 minutes more than A to fill the Cistern, then the time in which A and B will fill the Cistern separately will be respectively.
ANS: 10 mins, 15 mins
Q2. A certain number of men could do a piece of work in 60 days. if there were 8 more men, it could be finished in 10 days less. The number of men in the beginning were:
Q3. A and B completed a work together in 5 days. Had A worked at twice the speed and B at half the speed, it would have taken them four days to complete the job. How much time would it take it take for A alone to do the work?
Q4. Pipe A usually fills a tank in 2 hours. On account of a leak at the bottom of the tank, it takes pipe A 30 more minutes to fill the tank. How long will the leak take to empty a full tank if pipe A is shut?
(1)2 hours 30 minutes
Correct Answer - (4)
Q5. It takes six days for three women and two men working together to complete a work. Three men would do the same work five days sooner than nine women. How many times does the output of a man exceed that of women?
Q6. It takes Joe 5 hours to cut and rake her lawn. It takes Sue and their 3 children 7 hours to do the same job. How long would it take if the whole family did the job together? (round to the nearest hour.)
6. 3 hours
Q7. Kasem can do a piece of work in 7 1/2 hours and Sunil can finish it in 10 hours. If Kasem works at it for 3 hours and Sunil for 4 hours the amount of work left unfinished is:
Q8. N and A can do a work in 10 days and N alone in 12 days. In how many days can A do it alone?
ans. 60 days
Q9. Men can reap a field in 30 days. In how many days will 20 men reap the field?
(a) 25 days
(b) 24 days
(c) 10-1/2 days
(d) 37-1/2 days
Q10. If six men can do a job in fourteen days, how many would it take to do the job in twenty-one days?
you'll need four guys to do the job in twenty-one days.
Q11. A garrison of 3300 men had provisions for 32 days, when given at the rate of 850 gms per head. At the end of 7 days a reinforcement arrives and it was found that now the provisions will last 17 days more, when given at the rate of 825 gm per head. What is the strength of the reinforcement?
Q12. A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the beginning and 100 more after 35 days and completes the work in stipulated time. If he had not engaged the additional men, how many days behind schedule would it be finished?
Q13. A red light flashes 3 times per minute and a green light flashes 5 times in two minutes at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour?
Correct Answer - (1)
Q14. A fort has provision for 150 men for 45 days. After 10 days, 25 men left. How long will the foods last at the same rate?
ANS: 42 dyas
Q15. In a fort there was sufficient food for 200 soldiers for 31 days. After 27 days 120 soldiers left the fort. For how many extra days will the rest of the food last for the remaining soldiers?
Q1. Ajay and Vijay together can do a piece of work in 6 days. Ajay alone does it in 10 days. When time does Vijay require to do it alone?
Q2. 10 people can paint 60 houses in 120 days, so 5 people can paint 30 houses in how many days?
Q3. Working together, Bill and Tom painted a fence in 8 hours. Last year, Tom painted the fence by himself. The year before, Bill painted it by himself, but took 12 hours less than Tom took. How long did Bill and Tom take, when each was painting alone?
Q4. If 8 boys and 12 women can do a work in 25 days in how many days can the work be done by 6 boys and 11 women working together?
Q5. Ram starts working on a job and works on it for 12 days and completes 40% of the work. To help him complete the work, he employs Ravi and together they work for another 12 days and the work gets completed. How much more efficient is Ram than Ravi?
Q6. Sashi can do a piece of work in 25 days and Rishi can do it 20 days. They work for 5 days and then Sashi goes away. In how many more days will Rishi finish the work?
Q7. Mike and his dad are bricklayers. Mike can lay bricks for a fireplace and chimney in 5 days. With his father's help, he can build it in 2 days. How long would it take his father to build it alone?
Q8. Ten large barrels are each filled with many golf balls which all look alike. However, the balls in one barrel weigh twice as much as the regular balls, which weight one ounce. With one weighing on a scale that gives absolute weight, how can you find the barrel with the counterfeit golf balls?
Q9. Sanbhu can do 1/2 of the work in 8 days while Kalu can do 1/3 of the work in 6 days. How long will it take for both of them to finish the work?
Q10. 20 men complete one-third of a piece of work in 20 days. How many more men should be employed to finish the rest of the work in 25 more days?
Q11. A can complete a project in 20 days and B can complete the same project in 30 days. If A and B start working on the project together and A quits 10 days before the project is completed, in how many days will the project be completed?
Q12. B is twice as fast as A and C is three times as fast as A. if B alone can complete a job in 12 days, how long will A,B and C take to complete the same job together?
d) none of these
Q13. If six men working 8 hours a day earn Rs 840 per week, then 9 men working 6 hours a day will earn per week.
Q14. A can do some work in 24 days, B can do it in 32 days and C can do it in 60 days. They start working together. A left after 6 days and B left after working for 8 days. How many more days are required to complete the whole work?
Q15. A can do a work in 6days. B takes 12 days, C takes as long as A and B would take working together. How long will it take B and C to complete the work together?
Q1. A cistern is normally filled in 6 h but takes 4 h longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in how much time?
Q2. Two pipes A and B can fill a tank in 8 hours. If only pipe A is open, then it would take 4 hours longer to fill. Find how much longer would it take if only pipe B is open?
Q3. Bob and Mose set off at the same time on a 30 km walk for charity. Bob walks 1.4 km/h faster than Moe, but stops for 20 min on route. Even with the delay, Bob finishes 2 hours ahead of Moe. How fast was each [erson walking, and how long did it take for each person to finish the walk?
Q4. If A and B work together, they will complete a job in 7.5 days. However, if A works alone and completes half the job and then B takes over and completes the remaining half alone, they will be able to complete the job in 20 days. How long will B alone take to do the job if A is more efficient than B?
Q5.A water tank has three outlet taps A, B and C. A fills 4 buckets in 24 min, B fills 8 buckets in 1 hr and C fills 2 buckets in 20 minutes. If all the tapes are opened together, a full tank is emptied in 2 hr. If a bucket contains 5 L of water, what is the capacity of tank?
Q6. Ten pipes through which water flows at the same rate can fill a tank in 24 minutes. If two pipes go out of order, how long will the remaining pipes take to fill the tank?
(a) 40 minutes
(b) 45 minutes
(c) 19-1/5 minutes
(d) 30 minutes
Q7. A certain number of men can do work in 60 days. If there were 8 men more it could be finished in 10 days less. How many men are there?
Q8.The Buna dam has four inlets. Through the first three inlets, the dam can be filled in 12 minutes; through the second, the third and fourth inlet, it can be filled in 15 minutes; and through the first and the fourth inlet, 20 minutes. How much time will it take all the four inlets to fill up the dam?
Q9. A can do a piece of work in 6 days, B in 8 days and C in 12 days , B & C together do the work for 2 days and then C is replaced by A. Find the total time required to finish the work?
Q10. 15 men take 21 days of 8 hours each to do a piece of work. How many days of 6 hours each would 21 women take, if 3 women do as much work as 2 men?
Q11. There are 12 pipes attached to a tank. Some of them are fill pipes and some are drain pipes. Each of the fill pipes can fill the tank in 12 hours, while each of the drain pipes will take 24 hours to drain a full tank completely. If all the pipes are kept open when the tank was empty, it takes 2 hours for the tank to overflow. How many of these pipes are drain pipes?
Q12. Two guys were working on your car. One can complete the given job in six hours, but the new guy takes eight hours. They worked together for two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car? ANS: It takes the new guy another 3 hours and twenty minutes to finish fixing your car.
Q13. A works twice as fast as B. if B can complete a piece of work independently in 12 days, S and B together can complete the work in:
Q1. A pump can be used either to fill or to empty a tank. The capacity of the tank is 3600 m3. The emptying capacity of the pump is 10 m3/min higher than its filling capacity. What is the emptying capacity of the pump if the pump needs 12 more minutes to fill the tank than to empty it?
(a)50 m3 / min
(b)60 m3 / min
(c)45 m3 / min
(d)90 m3 /min
Q2. A men employs 10 laborers for 3 weeks for wages amounting to Rs. 1470. What would be total wages payable if 2 labrores do not turn up for the last 2 weeks?
All laborers are paid equal wages
Q3. If Raghu can walk a distance of 5 kms in 20 minutes, how long he can go in 50 minutes:
Q4. If 8 men, working 9 hours a day can build as wall 18 metres long, 2 metres broad and 12 metres high in 10 days, how many men will be required to build a 32 metres long, 3 metres broad and 9 metres high, by working 6 hours a day, in 8 days?
Q5. A can do a piece of work in 20 days. He works at it for 5 days and then B finishes it in 10 more days. In how many days will A and B together finish the work?
Q6. If 9 men working 7-1/2 hours a day can finish a work in 20 days; then how many days will be taken by 12 men, working 6 hours a day to finish the work; it being given that 3 men of latter type work as much as 2 men of the former type in the same time?
Q7. A contract is to be completed in 56 days and 104 men were set to work, each working 8 hours a day. After 30 days 2/5 of the work is completed. How many additional men may be employed, so that the work may be completed in time, each man now working 9 hours a day?
Q8.A and B can do a piece of work in 21 and 24 days respectively. They started the work together and after some days A leaves the work and B completes the remaining work in 9 days. After how many days did A leave?
Q9. A pipe can fill a tank in X hours and another can empty it in Y hours. If the tank is 1/3rd full then the number of hours in which they will together fill it in is
Q10. If (4/5)th of a cistern is filled in 1 minute, how much more time will be required to fill the rest of it?
(d) 10 seconds
Q11. It takes bill 9 hours to paint a house and jim 7 hours to do the same job. how long will it take both people working together?
Q12. If a certain number of workmen can do a piece of work in 25 days, in what time will another set of an equal number of men do a piece of work twice as great, supposing that 2 of the first set can do as much work in an hour as 3 of the second set can do in an hour?
Q12. Working alone, Maria can complete a task in 100 minutes. Shaniqua can complete the same task in two hours. They work together for 30 minutes when Liu, the new employee, joins and begins helping. They finish the task 20 minutes later. How long would it take Liu to complete the task alone?
That is, Liu's time for the task is 240 minutes, or four hours.
Q13. Joe and Fred are linemen. Joe can string 10 miles of line in 3 days while together they can string it in 1 day. How long would it take Fred alone to string the same line?
Q14. There are 12 pipes that are connected to a tank. Some of them are fill pipes and the others are drain pipes. Each of the fill pipes can fill the tank in 8 hours and each of the drain pipes can drain the tank completely in 6 hours. If all the fill pipes and drain pipes are kept open, an empty tank gets filled in 24 hours. How many of the 12 pipes are fill pipes?
Q1. A finishes 6/7th of the work in 2z hours, B works twice as fast and finishes the remaining work. For how long did B work?
Q2. 2 men and 7 boys can do a piece of work in 14 days; 3 men and 8 boys can do the same in 11 days, 8 men and 6 boys can do 3 time the amount of this work in:
(a) 21 days
(b) 18 days
(c) 24 days
(d) 36 days
Q3. A garrison of 22000 men has provision for 16 weeks at 4.5 kg per day per man. How many men should leave so that the same provision may last 24 weeks at 3.3 kg per day per men?
Q4. A contractor employed 30 men to do a piece of work in 38 days. After 25 days, he employed 5 men more and the work was finished one day earlier. How many days he would have been behind, if he had not employed additional men?
(a) 1 days
(b) 1-1/4 days
(c) 1-3/4 days
(d) 1-1/2 days
Q5. Two pipes can fill a cistern in 14 and 16 hours respectively. The pipes are opened simultaneously and it is found that due to leakage in the bottom of the cistern, it takes 32 minutes extra for the cistern to be filled up. When the cistern is full, in what time will the leak empty it?
Q6. Pipe A can fill a tank in 'a' hours. On account of a leak at the bottom of the tank it takes thrice as long to fill the tank. How long will the leak at the bottom of the tank take to empty a full tank, when pipe A is kept closed?
Q7. 120 men had provisions for 200 days. After 5 days, 30 men died due to an epidemic. The remaining food will last for:
Q8. When the tub faucet is on full, it can fill the tub to overflowing in 20 minutes (we'll ignore the existence of the overflow drain). The drain can empty the tub in 15 minutes. Your four-year-old has managed to turn the faucet on full, and the drain was closed. Just as the tub starts to overflow, you run in and discover the mess. You grab the faucet handle, and it comes off in your hand. You yank the drain open, and run for towels to clean up the overflow. How long will it take for the tub to empty, with the faucet still on but the drain now open?
Q9. Twenty people can produce 4 slingshots in 2 hours. How long will it take 15 people to make 30 slingshots? How many people are needed to make 40 slingshots in 2 hours? How many slingshots can be made by 5 people in 12 hours?
Q10. 2 men and 7 boys together complete a certain work in 16 days, while 3 men and 8 boys together the same work in 12 days. Find, in how many days will 8 men and 8 boys together complete a work twice as big as the previous one.
Q11. X alone can do a piece of work in 15 days and Y alone can do it in 10 days. X and Y undertook to do it for Rs. 720. With the help of Z they finished it in 5 days. How much is paid to Z?
Q12. A garrison of 500 men had provisions for 24 days. However, a reinforcement of 300 men arrived. The food will now last for
(b)17 1/2 days
Q13. A can do a work in 18 days, B in 9 days and C in 6 days. A and B start working together and after 2 days C joins them. In how many days will the job be completed ?
Q1. If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 25 men in 3 days?
Q2. A pipe can fill a tank is x hours and another can empty it in y hours. If the tank is 1/3rd full then the number of hours in which they will together fill it in is
Q3. If 18 pumps can raise 2170 tonnes of water in 10 days, working 7 hours a day, in how many days will 16 pumps raise 1736 tonnes, working 9 hours a day?
Q4. Ram, who is half as efficient as Krish, will take 24 days to complete a work if he worked alone. If Ram and Krish worked together, how long will they take to complete the work?
Q5. A garrison had provisions for a certain number of days. After 10 days (1/5)th of the men desert and it is found that the provisions will now last just as long as before. How long was that:
Q6. Dev and Tukku can do a piece of work in 45 and 40 days respectively. They began the work together, but Dev leaves after some days and Tukku finished the remaining work in 23 days. After how many days did Dev leave
Q7.If Lisa can type a paper in 5 hours and together she and Bill can type it in 2 hours, how long would it take Bill to type the same paper alone?
Q8. If 5 engines consume 6 metric tonnes of coal when each is running 9 hours a day, how much coal will be needed for 8 engines, each running 10 hours a day, it being given that 3 engines of the former type consumer as much as 4 engines of latter type?
(a)8 metric tonnes
(b)8-8/9 metric tonnes
(c)3-1/8 metric tonnes
(d)6.48 metric tones
Q9. I don't get dealing with things like for example, you have 25 workers and hired 16% more and then you have to find out what that 16% is. you know like porportions. setting it up as 25 over 100 and then 16 over blank..I think...maybe i reversed that but please help me.
Q10. Ben takes 2 hours to wash 500 dishes, and Frank takes 3 hours to wash 450 dishes. How long will they take, working together, to wash 1000 dishes?
It will take two and a half hours for the two of them to wash 1000 dishes.
Q11. At an avearage speed of 30 km/hr from his home to a point that is 120 km away. What must his average speed be on the return trip if he wants his average speed for the entire trip tp be 40km/hr?
Q12. Two workers A and B manufactured a batch of identical parts. A worked for 2 hours and B worked for 5 hours and they did half the job. Then they worked together for another 3 hours and they had to do (1/20)th of the job. How much time does B take to complete the job, if he worked alone?
Q13. If 3 men or 6 boys can do a piece of work in 10 days, working 7 hours a day; how many days will it take to complete a work twice as large with 6 men and 2 boys working together for 8 hours a day?
Q14. A takes 5 days more than B to do a certain job and 9 days more than C; A and B together can do the job in the same time as C. How many days A would take to do it?
Q1. If 300 men can do a piece of work in 16 days, how many men would do (1/5) of the work in 15 days?
Q2. If 4 men or 7 boys do a work in 29 days, 12 men and 8 boys will do the same work in
Q3. One pipe can fill a pool 1.25 times faster than a second pipe. When both pipes are opened, they fill the pool in five hours. How long would it take to fill the pool if only the slower pipe is used? ANS: the slower pipe takes 11.25 hours
Q4. If 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 25 men in 3 days?
Q5. Twenty workers can finish a piece of work in 30 days. After how many days could 5 workers leave the job so that the work is completed in 35 days?
Q6. A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work (in days)
Q7. If 20 men working 7 hours a day can do a piece of work in 10 days, in how many days will 15 men working for 8 hours a day do the same piece of work?
(d) 4-1/5 days
Q8. If 27 kg of corn would feed 42 horses for 21 days, in hour many days would 36 kg of it feed 21 horses?
Q9. Shyam can do a job in 20 days, Ram in 30 days and Singhal in 60 days. If Shyam is helped by Ram and Singhal every 3rd day, how long will it take for them to complete the job?
Q10. A twice as good as a workman as B; and together they finish a work in 16 days. In how many days can it be done by each separately?
Q11. 30 men working 5h a day can do a work in 16 days. In how many days will 20 men working 6 h a day do the same work?
Q12. A swimming pool can be filled by an inlet pipe in 10 hours and emptied by an outlet pipe in 12 hours. One day the pool is empty and the owner opens the inlet pipe to fill the pool. However, he forgets to close the outlet. With both pipes open, how long will it take to fill the pool?
Q13. If 12 boys can earn Rs 240 in 5 days, how many boys can earn Rs 420 in 21 days?
(d)None of these
Q1. If x men working x hours per day can do x units of work in x days, then y men working y hours per day would be able to complete in y days:
(a) x2/y3 units of work
(b) x3/y2 units of work
(c) y2/x3 units of work
(d) y3/x2units of work
Q2. A man can do a piece of work in 60 hours. If he takes his son with him and both work together then the work is finished in 40 hours. How long will the son take to do the same job, if he worked alone on the job?
(d)None of these
Q3. If 5 men working 6 hours a day can reap a field in 20 days, in how many days will 15 men reap the field, working 8 hours a day?
Q4. A completes 2/3 of a certain job in 6 days. B can complete 1/3 of the same job in 8 days and C can complete 3/4 of the work in 12 days. All of them work together for 4 days and then A and C quit. How long will it take for B to complete the remaining work alone ?
Q5. Raju is twice as good as vijay. Together, they finish the work in 14 days. In how many days can Vijay alone do the same work?
Q6. Pipe A fills a tank of 700 litres capacity at the rate of 40 litres a minute. Another pipe B fills the same tank at the rate of 30 litres a minute. A pipe at the bottom of the tank drains the tank at the rate of 20 litres a minute. If pipe A is kept open for a minute and then closed and pipe B is kept open for a minute and then closed and then pipe C is kept open for a minute and then closed and the cycle repeated, how long will it take for the empty tank to overflow?
(d)None of these
Q7. In a hospital there is a consumption of 1350 litres of milk for 70 patients for 30 days. How many patients will consume 1710 litres of milk in 28 days?
Q8.If A,B and C can finish a job in 10 days and then D joins them and he can finish the job in 15 days how long will it take them to finish 4 times the same amount of work.
Q9. If the rent for grazing 40 cows for 20 days is Rs 370, how many cows can graze for 30 days on Rs 111?
Q10. If A,B and C can finish a job in 10 days and then D joins them and he can finish the job in 15 days how long will it take them to finish 4 times the same amount of work.
Q11. 15 men could finish a piece of work in 210 days. But at the end of 100 days, 15 additional men are employed. In how many more days will the work be complete?
Q12.One machine can complete a job in 10 minutes. If this machine and an older machine do the same job together, the job can be completed in 6 minutes. How long would it take the older machine to do the job?
Q13. A can do a piece of work in 6 days, B in 8 days and C in 12 days , B & C together do the work for 2 days and then C is replaced by A. Find the total time required to finish the work?
Q14.A software company is getting ready to release a new product. A QA Director is notifired the following. A Junior Vertification Engineer takes one hour longer to fix a bug (in the code) than ittakes a Senior Engineer. If they can fix the bug in 5 hours working together, how long would it take each Engineer to finish the task by themselves?
Q15. If 4 examiners can examine a certain number of answer books in 8 days by working 5 hours a day; for how many hours a day would 2 examiners have to work in order to examine twice the number of answer books in 20 days?
Q16.A can do a work in 10 days and B can do the same work inb 20 days. They work together for 5 days and then A goes away. In how many more days will B finish the work?