| Coverage : The GRE Practice Test - Math - Time and Work has been designed to test the important concepts related to time and work. The test covers important topics like evaluating the time consumed to complete certain work, determining the time consumption when man power increases or decreases, determining the man power required when time period is shortened etc. |
| 1. | Machine X fills 2000 bottles in 5 hours and machine Y fills 2000 bottles in 6 hours, in how many hours can machine X and Y, working together at these constant rates, fill 2000 bottles? |
| a. | | 11/30 hrs |
| b. | | 30/11 hrs |
| c. | | 11/8 hrs |
| d. | | 8/11 hrs
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| 2. | Two sisters can complete a job in 6 hours, when working together at their respective constant rates. The elder sister alone can complete the job in 8 hours, in how many hours can the younger sister complete the job alone? |
| a. | | 12 hrs |
| b. | | 24 hrs |
| c. | | 48 hrs |
| d. | | 10 hrs
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| 3. | A husband and wife, started painting their house, but husband left painting 5 days before the completion of the work. How many days will it take to complete the work, which the husband alone would have completed in 20 days and wife in 15 days? |
| a. | | 40/7 days |
| b. | | 50/7 days |
| c. | | 75/7 days |
| d. | | 55/7 days
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| 4. | Anita can do a piece of work in 15 days and Sunita takes 12 days. But if they take the help of Kavita, they can finish their job in 5 days. Find in how many days Kavita alone can finish the job? |
| a. | | 20 days |
| b. | | 10 days |
| c. | | 12 days |
| d. | | 18 days
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| 5. | Husband can finish a piece of work in 8 days while his wife can finish the same piece of work in 16 days. Find in how many days both of them can finish the work, while working together. |
| a. | | 5 days |
| b. | | 5.3 days |
| c. | | 5.5 days |
| d. | | 6 days
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| 6. | Ketty and Betty together take 12 days to complete a piece of work. Ketty alone can finish the work in 18 days. How long would Betty take to finish the same work? |
| a. | | 28 days |
| b. | | 20 days |
| c. | | 30 days |
| d. | | 36 days
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| 7. | A and B can complete stitching in 6 hours, B and C can do the same in 8 hours, while C and A can complete it in 12 hours. How long would each of them take, doing the same work, separately ? |
| a. | | A = 48 hours, B = 9.6 hours, C = 16 hours |
| b. | | A = 9.6 hours, B = 48 hours, C = 16 hours |
| c. | | A = 16 hours, B = 9.6 hours, C = 48 hours |
| d. | | A = 16 hours, B = 48 hours, C = 9.6 hours
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| 8. | 1/4th of a work is completed by 8 persons in 12 days. Find the number of persons required to complete the remaining work in 16 days. |
| a. | | 2 |
| b. | | 3 |
| c. | | 4 |
| d. | | 1
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| 9. | Father and son can carpet a room in 24 hours. Father and mother can carpet it in 32 hours, while son and mother can carpet it in 48 hours. In what time can they carpet all, working together? |
| a. | | 64/3 hours |
| b. | | 62/3 hours |
| c. | | 65/3 hours |
| d. | | 61/3 hours
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| 10. | X, Y and Z can finish painting a wall in 8, 10 and 12 hours, respectively. How many hours will all of them take to complete painting, working together? |
| a. | | 130/29 hours |
| b. | | 102/35 hours |
| c. | | 120/37 hours |
| d. | | 103/28 hours
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| 11. | 30 men complete a piece of work in 40 days by working 15 hrs a day. Find in how many days 40 men will complete a piece of work by working 10 hrs a day each? |
| a. | | 45 days |
| b. | | 15 days |
| c. | | 30 days |
| d. | | 40 days
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| 12. | 10 men and 15 women can do a piece of work in 30 days, Calculate in how many days can the work be done by 12 men and 27 women working together? |
| a. | | 8 days |
| b. | | 18 days |
| c. | | 15 days |
| d. | | 10 days
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| 13. | 15 women can knit 6 sweaters in 20 days working 6 hours a day. Find in how many days can 20 women knit 10 sweaters working 3 hours a day? |
| a. | | 10 days |
| b. | | 12 days |
| c. | | 18 days |
| d. | | 15 days
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| 14. | "X" can do as much work in 4 days as "Y" in 6 days. "Z" can do as much work in 2 days as "Y" can do in 1 day. What time would "Z" require to do a work if "X" takes 12 days to finish it? |
| a. | | 12 days |
| b. | | 36 days |
| c. | | 24days |
| d. | | 32 days
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| 15. | 15 men or 18 women can complete a piece of work in 12 days. Calculate the number of days 5 men and 10 women would take to complete the work ? |
| a. | | 11 days |
| b. | | 20/3 days |
| c. | | 10 days |
| d. | | 27/2 days
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| 16. | X takes thrice as much time as Y to sweep the floor and Z takes the same time as the time taken by X and Y, working together. When all three work together, they finish sweeping in 9 hours. Find the time taken by each of them to finish sweeping. |
| a. | | X = 72 hours, Y = 24 hours, Z = 18 hours |
| b. | | X = 24 hours, Y = 72 hours, Z = 18 hours |
| c. | | X = 18 hours, Y = 24 hours, Z = 72 hours |
| d. | | None of the above
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| 17. | 'X' men were supposed to complete a piece of work in 20 days. 5 amongst them went absent and the remaining men did the job in 30 days. Find a figure from the following that can replace 'X' . |
| a. | | 20 |
| b. | | 16 |
| c. | | 18 |
| d. | | 12
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| 18. | 5 men can complete a piece of work in 4 days, 4 women can complete the same work in 6 days, while 8 children can complete the same work in 5 days. Find in how many days 1 man, 1 woman and 1 child, working togeher can complete the work? |
| a. | | 50/7 days |
| b. | | 60/7 days |
| c. | | 80/7 days |
| d. | | 40/7 days
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| 19. | A and B can complete a piece of work in 18 days, while A alone can complete it in 24 days. Find the time taken by B alone to complete the work. |
| a. | | 63 days |
| b. | | 54 days |
| c. | | 36 days |
| d. | | 72 days
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| 20. | A family of 8 members have the grocery stock for a month (30 days). After 2 weeks, a family of 8 relatives arrive. For how many more days the food will last? |
| a. | | 10 days |
| b. | | 16 days |
| c. | | 8 days |
| d. | | 12 days
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| 21. | Betty and Kitty can finish a piece of work in 20 days; Kitty and Smith can complete the same work in 25 days; Smith and Betty can complete the work in 30 days. Find the time taken by all three when working together. |
| a. | | 600/37 days |
| b. | | 500/37 days |
| c. | | 400/37 days |
| d. | | 700/37 days
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| 22. | X and Y can do a piece of work in 15 days; Y and Z can do the job in 18 days; Z and X can complete in 10 days. All of them worked together for 5 days and then X leaves. Y and Z then worked for 3 days and then Y leaves. Find how long Z would take to complete the job? |
| a. | | 43/2 days |
| b. | | 45/2 days |
| c. | | 41/2 days |
| d. | | 47/2 days
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| 23. | Nick and Jose can finish fencing a garden in 15 days, while Nick, Jose and Rose take 10 days to finish. Find the time in which Rose alone can finish the fencing. |
| a. | | 25 days |
| b. | | 20 days |
| c. | | 30 days |
| d. | | 28 days
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| 24. | X can complete 2/5 of a work in 30 minutes. In how many minutes can he finish 1/5 of the work? |
| a. | | 12 minutes |
| b. | | 10 minutes |
| c. | | 20 minutes |
| d. | | 15 minutes
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| 25. | Jason and Anita can complete a job in 9 days; Anita and Lily can complete the job in 6 days; Lily and Jason can complete the job in 12 days.Find the time taken by Jason to complete the job when working alone. |
| a. | | 24 days |
| b. | | 36 days |
| c. | | 72 days |
| d. | | 54 days
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| 26. | 'X' can do 2/3 of a work in 10 days and 'Y' can do 1/4 of the work in 5 days. Find in how many days can X and Y both together complete the work? |
| a. | | 60/7 days |
| b. | | 50/7 days |
| c. | | 80/7 days |
| d. | | 40/7 days
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| 27. | Bobby can complete a work in 15 days. Rocky is 50% more efficient than Bobby and Rick is 20% more efficient than Rocky. If all of them work together, how long would they take to finish the job? |
| a. | | 2.98 days |
| b. | | 3.56 days |
| c. | | 2.8 days |
| d. | | 3.48 days
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| 28. | A tower was built by 1500 men in 30 days. In how many days can 1800 men build the same tower, if their working hours per day are reduced in the ratio 3:4? |
| a. | | 30 days |
| b. | | 33.33 days |
| c. | | 35 days |
| d. | | 34.34 days
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| 29. | Mr Robin covers a distance by walking 42 days taking a rest-interval of 10 hours each. How long will he take to walk the same distance thrice as fast and rest twice as long each day? |
| a. | | 49 days |
| b. | | 50 days |
| c. | | 51 days |
| d. | | 52 days
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| 30. | 12 men can complete a piece of work in 22 days and 15 women can complete the same work in 18 days. Find the number of days taken to complete the work if all 12 men and 15 women work together. |
| a. | | 10.1 days |
| b. | | 8.8 days |
| c. | | 9.9 days |
| d. | | None of the above
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| 31. | A family of 8 consume grains worth of $200 for 80 days. For how long will $300 maintain a family of 12 members? |
| a. | | 70 days |
| b. | | 80 days |
| c. | | 90 days |
| d. | | 75 days
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| 32. | A group of boys can clean their hostel in 8 hours. But the warden sends 5 of them to the market and the work is completed in 12 hours. Find the original number of boys in the group. |
| a. | | 15 |
| b. | | 10 |
| c. | | 12 |
| d. | | 14
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| 33. | 300 workers working 12 hours a day complete 1/4th of the job in 14 days. Find the number of additional workers required to complete the remaining work in 20 days by working 8 hours a day. |
| a. | | 945 |
| b. | | 725 |
| c. | | 645 |
| d. | | 825
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| 34. | If 80 men working 8 hours a day can complete a job in 20 days. Calculate in how many more days will 40 men working 10 hours a day do thrice the same work. |
| a. | | 50 days |
| b. | | 82 days |
| c. | | 85 days |
| d. | | 76 days
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| 35. | If 4 men and 6 women take 8 hours to cook food for 18 army men, how long will 4 men and 8 women take to cook for the same number of army men. |
| a. | | 4 hours |
| b. | | 2 hours |
| c. | | 3 hours |
| d. | | 5 hours
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| 36. | 'X' can complete a piece of work in 45 days. He worked on it for 15 days and then 'Y' finished it in 20 days. In how many days can X and Y, together finish the work? |
| a. | | 18 days |
| b. | | 20 days |
| c. | | 22 days |
| d. | | 21 days
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| 37. | Lily can complete a work in 32 days and Mily can do it in 40 days. Both of them started the work together. After 8 days Mily left the work. Calculate in how many more days will the work be finished? |
| a. | | 82/3 days |
| b. | | 85/4 days |
| c. | | 80/3 days |
| d. | | 88/5 days |
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| 38. | K is twice as good in cutting trees as L and hence he finishes a piece of work in 20 days less than L. Find the time taken to complete the work, when both K and L work together. |
| a. | | 40/3 days |
| b. | | 41/3 days |
| c. | | 42/5 days |
| d. | | 43/5 days
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| 39. | Tony is thrice as efficient as Mony. Tony can finish a piece of work in 40 days less than Mony. In how many days, Mony can finish the work? |
| a. | | 120 days |
| b. | | 80 days |
| c. | | 60 days |
| d. | | 90 days
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| 40. | X can do a piece of work in 20 days. Y can do the same work in 30 days. X started the work alone. After how many days should Y join him, so that the work is finished in 16 days? |
| a. | | 15 days |
| b. | | 12 days |
| c. | | 11 days |
| d. | | 10 days
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| 41. | Wife takes twice as much time as Husband and thrice as much time as son to finish a job. If all are working together, they can complete the job in 5 hours. Find the time taken by each of them separately to finish the work. |
| a. | | Wife = 30 hours, Husband = 15 hours, Son = 10 hours |
| b. | | Wife = 18 hours, Husband = 9 hours, Son = 6 hours |
| c. | | Wife = 24 hours, Husband = 12 hours, Son = 8 hours |
| d. | | Wife = 36 hours, Husband = 18 hours, Son = 12 hours
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| 42. | Rita and her elder sister can complete sewing a coat in 6 days. Her younger brother can do it in 15 days. In how many days will Rita and her sibblings complete sewing the coat together? |
| a. | | 21 days |
| b. | | 30/7 days |
| c. | | 32/5 days |
| d. | | 29/3 days
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| 43. | Bruce would take 16 hours more to complete the job, individually, than working together with Berry. If Berry worked alone, she would take 9 hours more to complete the job than Bruce and Berry who worked together. What time would they take to complete the job, if both Bruce and Berry worked together? |
| a. | | 11 hours |
| b. | | 15 hours |
| c. | | 12 hours |
| d. | | 10 hours
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| 44. | Lee and Nee can do a piece of work in 20 days. Sweety and Tweety can complete the same work in 30 days. In how many days will Lee, Nee, Sweety and Tweety do it together? |
| a. | | 3 days |
| b. | | 8 days |
| c. | | 5 days |
| d. | | 4 days
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| 45. | A is twice as good in fencing a garden as B and takes 8 hours less than B takes. Find the time B would take for fencing the garden. |
| a. | | 10 hours |
| b. | | 16 hours |
| c. | | 12 hours |
| d. | | 18 hours
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| 46. | 'K' and 'L' can complete a piece of work in 12 days, 'L' and 'N' can do it in 18 days. If 'L' alone takes 30 days to complete the work. Find in what time 'K' and 'N' will do it together? |
| a. | | 13. 666 days |
| b. | | 13.3 days |
| c. | | 13.84 days |
| d. | | 13. 6565 days
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| 47. | Krish and Karen together can complete a piece of work in 15 days. If Krish does thrice as much work as Karen in a given time. Find how much time Krish will take, when working alone? |
| a. | | 20 days |
| b. | | 18 days |
| c. | | 30 days |
| d. | | 25 days
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| 48. | P, Q, R and S can do a piece of work in 32 days. If P and Q can do it together in 90 days, and R alone in 120 days. Find the time in which S alone can do it. |
| a. | | 82.7 days |
| b. | | 81.7 days |
| c. | | 80.7 days |
| d. | | 84.7 days
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| 49. | A, B and C can do a piece of work in 20 days. B and C together do it in 30 days. B alone can do it in 45 days. In what time will it be done by C working alone? |
| a. | | 88 days |
| b. | | 90 days |
| c. | | 85 days |
| d. | | 92 days
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| 50. | Tim can complete a piece of work in 12 days. If Lee works thrice as fast as Tim, find the time both of them take, to complete the work, together. |
| a. | | 4 days |
| b. | | 5 days |
| c. | | 6 days |
| d. | | 3 days
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