Time and Work

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TPC Website: www.tpcglobal.in , Email: info@tpcglobal.in , Ph.: 0120 4109120 TIME AND WORK 1) The water from one outlet, flowing at a constant rate, can fill the swimming pool in 9 hours. The water from second outlet, flowing at a constant rate can fill up the same pool in approximately in 5 hours. If both the outlets are used at the same time, approximately what is the number of hours required to fill the pool? A. 9 hours B. 3 hours C. 10 hours D. 5 hours 2) Machine A produces bolts at a uniform rate of 120 every 40 second, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts? A. 10 seconds B. 20 seconds C. 25 seconds D. 30 seconds 3) An empty tank be filled with an inlet pipe ‘A’ in 42 minutes. after 12 minutes an outlet pipe ‘B’ is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe ‘C’ opened into the same tank, which can fill the tank in 35 minutes and the tank is filled find the time taken to fill the tank? A. 22.5 min B. 33.5 min C. 58.5 min D. 26.5 min 4) Pipe A can fill a tank in 6hrs; pipe B can empty the tank in 8hrs. If they are opened together what part of the tank is filled in 1 hour? A. 1/16 B. 1/15 C. 1/12 D. 1/24 5) 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) A. 4 B. 6 C. 10 D. 12 6) A agreed to complete a job for Rs.900 in 12 days; A does the work for 4 days and leaves the job. Then B takes over the job and promised to complete the given job on time. Find the share of A. A. 600 B. 300 C. 900 D. 1200 7) If 10 persons can cut 20 trees in 3 days working 12 hours a day. Then in how many days can 24 persons cut 32 trees working 4 hours a day? A. 5 days B. 3 days C. 6 days D. 4 days 8) Two men undertake to do a piece of work for Rs. 200. One alone can do it in 6 days and the other in 8 days. With the help of a boy, they finish it in 3 days. How much is the share of the boy? A. Rs. 75 B. Rs. 50 C. Rs. 125 D. Rs. 25 9) A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work? A.5 days B.6 days C.8 days D.9 days 10) A tyre has punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat? A.1 1/2 minutes B.3 1/2 minutes C.3 3/5 minutes D.4 1/4 minutes 11) 5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a man and a boy are in the ratio A. 1 : 2 B. 1 : 3 C. 2 : 1 D. 3 : 1

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Transcript of Time and Work

TPC

Website: www.tpcglobal.in , Email: [email protected] , Ph.: 0120 4109120

TIME AND WORK

1) The water from one outlet, flowing at a constant rate, can fill the swimming pool in 9 hours. The water from second outlet, flowing at a constant rate can fill up the same pool in approximately in 5 hours. If both the outlets are used at the same time, approximately what is the number of hours required to fill the pool? A. 9 hours B. 3 hours C. 10 hours D. 5 hours 2) Machine A produces bolts at a uniform rate of 120 every 40 second, and Machine B produces bolts at a uniform rate of 100 every 20 seconds. If the two machines run simultaneously, how many seconds will it take for them to produce a total of 200 bolts? A. 10 seconds B. 20 seconds C. 25 seconds D. 30 seconds 3) An empty tank be filled with an inlet pipe ‘A’ in 42 minutes. after 12 minutes an outlet pipe ‘B’ is opened which can empty the tank in 30 minutes. After 6 minutes another inlet pipe ‘C’ opened into the same tank, which can fill the tank in 35 minutes and the tank is filled find the time taken to fill the tank? A. 22.5 min B. 33.5 min C. 58.5 min D. 26.5 min 4) Pipe A can fill a tank in 6hrs; pipe B can empty the tank in 8hrs. If they are opened together what part of the tank is filled in 1 hour? A. 1/16 B. 1/15 C. 1/12 D. 1/24 5) 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) A. 4 B. 6 C. 10 D. 12 6) A agreed to complete a job for Rs.900 in 12 days; A does the work for 4 days and leaves the job. Then B takes over the job and promised to complete the given job on time. Find the share of A. A. 600 B. 300 C. 900 D. 1200 7) If 10 persons can cut 20 trees in 3 days working 12 hours a day. Then in how many days can 24 persons cut 32 trees working 4 hours a day? A. 5 days B. 3 days C. 6 days D. 4 days 8) Two men undertake to do a piece of work for Rs. 200. One alone can do it in 6 days and the other in 8 days. With the help of a boy, they finish it in 3 days. How much is the share of the boy? A. Rs. 75 B. Rs. 50 C. Rs. 125 D. Rs. 25 9) A does a work in 10 days and B does the same work in 15 days. In how many days they together will do the same work? A.5 days B.6 days C.8 days D.9 days 10) A tyre has punctures. The first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat? A.1 1/2 minutes B.3 1/2 minutes C.3 3/5 minutes D.4 1/4 minutes 11) 5 men and 2 boys working together can do four times as much work as a man and a boy. Working capacities of a man and a boy are in the ratio A. 1 : 2 B. 1 : 3 C. 2 : 1 D. 3 : 1

TPC

Website: www.tpcglobal.in , Email: [email protected] , Ph.: 0120 4109120

12) Kumar can do a work in 3 days while Dinesh can do the same work in 2 days. Both of them finish the work together and get Rs.150. What is the share of Kumar ? A.30 B. 60 C. 70 D. 75 13) A man can do a piece of work in 5 days, but with the help pf his son, he can do it in 3 days. In what time can the son do it alone? A. 6x1/2 days B. 7 days C. 7x1/2 days D. 8 days 14)Assume that 20 cows and 40 goats can be kept for 10 days for Rs.460. If the cost of keeping 5 goats is the same as the cost of keeping 1 cow, what will be the cost for keeping 50 cows and 30 goats for 12 days? A.Rs.1104 B.Rs.1000 C.Rs.934 D.Rs.1210 15)If daily wages of a man is double to that of a woman, how many men should work for 25 days to earn Rs.14400? Given that wages for 40 women for 30 days are Rs.21600. A.12 B.14 C.16 D.18 16) A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is A.1:3 B.4:3 C.2:3 D.2:1 17) Anil and Syam are working on a special assignment. Anil needs 6 hours to type 32 pages on a computer and Syam needs 5 hours to type 40 pages. If both of them work together on two different computers, how much time is needed to type an assignment of 110 pages? A.7 hour 15 minutes B.7 hour 30 minutes C.8 hour 15 minutes D.8 hour 30 minutes 18)10 men can complete a work in 7 days. But 10 women need 14 days to complete the same work. How many days will 5 men and 10 women need to complete the work? A. 5 B. 6 C. 7 D. 8 19)P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work? A. 9 B. 11 C. 13 D. 15 20)A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work? A.60 B.50 C.40 D.30

ANSWER KEY

1. B 2. C 3. C 4. D 5. A

6. B 7. C 8. D 9. B 10. C

11. C 12. B 13. C 14. A 15. C

16. B 17. C 18. C 19. C 20. A