**Problems on Time and Work**

**Answers are at the bottom of the Page**

*1. A can do a piece of work in 30 days while B alone can do it in 40 days. In how many days can A and B working together do it ?*

(a) 17 1/7 (b) 27 1/7 (c) 42 3/4 (d) 70

*2. A and B together can complete a piece of work in 35 days while A alone can complete the same work in 60 days. B alone will be able to complete*

the same work in :

the same work in :

(a) 42 days (b) 72 days (c) 84 days (d) 96 days

*3. A can do a piece of work in 7 days of 9 hours each and B can do it in 6 days of 7 hours each. How long will they take to do it, working together 8 2/5 hours a day ?*

(a) 3 days' (b) 4 days (c) 4 1/2 days (d) None of these

*4. A can do a piece of work in 15 days and B alone can do it in 10 days. B works at it for 5 days and then leaves. A alone can finish the remaining work in*:

(a) 13/2 (b) 15/2 days (c) 8 days (d) 9 days

*5. A can do 1/3 of the work in 5 days and B can do 2/5 of the work in 10 days. In how many days both A and B together can do the work?*

(a) 7 ¾ (b)8 4/5 (c) 9 3/8 (d) 10

*6. A can do a piece of work in 80 days. He works at it for 10 days and then B alone finishes the remaining work in 42 days. The two together could complete the work in :*

(a) 24 days (b) 25 days (c) 30 days (d) 35 days

*7.A and B can together finish a work in 30 days. They worked at it for 20 days and then B left. The remaining work was done by A alone in 20 more days. A alone can finish the work in :*

(a) 48 days (b) 50 days (c) 54 days (d) 60 days

*8.A and B can do a piece of work in 45 days and 40 days respectively. They began to do the work together but A leaves after some days and then B completed the remaining work in 23 days. The number of days after which A left the work was:*

(a) 6 (b) 8 (c) 9 (d) 12

*9. A does half as much work as B in three-fourth of the time. If together they take 18 days to complete the work, how much time shall B take to do it ?*

(a) 30 days (b) 35 days (c) 40 days (d) none of these

*10. A can do a certain job in 12 days. B is 60% more efficient than A. The number of days, it takes B to do the same piece of work, is :*

(a) 6 (b) 6 ¼ (c) 7 ½ (d) 8

*11. A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined by B after 10 days. The number of days taken in completing the work was :*

(a) 12 ½ (b) 14 2/9 (c) 15 (d) 16 2/3

*12. A is twice as good a workman as B and together they finish a piece of work in 14 days. The number of days taken by A alone to finish the work, is :*

(a) 11 (b) 21 (c) 28 (d) 42

*13. A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B alone can do the whole work in :*

(a) 12 days (b) 15 days (c) 20 days (d) 30 days

*14. A can do a piece of work in 14 days which B can do in 21 days. They begin together but 3 days before the completion of the work, A leaves off. The total number of days to complete the work is :*

(a) 6 3/5 (b) 8 ½ (c) 10 1/5 (d) 13 ½

*15. If Ramesh, Suresh and Harish can do a piece of work in 15 days, 10 days and 6 days respectively, how long will they take to do it, if all the three work at it together?*

(a) 3 days (b) 3 ½ days (c) 3 9/20 days (d) 3 3/20 days

*16. A and B can do a piece of work in 72 days; B and C can do it in 120 days; A and C can do it in 90 days. In what time can A alone do it ?*

(a) 150 days (b) 120 days (c) 100 days (d) 80 days

*17. A and B can do a piece of work in 5 days; Band C can do it in, 7 days; A and C can do it in 4 days. Who among these will take the least time if put to do it alone?*

(a) A (b) B (c) C (d) Data inadequate

*18. If A, B and C together can finish a piece of work in 4 days; A alone can do it in 12 days and B in 18 days, then C alone can do it in :*

(a) 21 days (b) 16 days (c) 14 days {d) 9 days

*19. A and B can do a piece of work in 18 days; Band C can do it in 24 days; A and C can do it in 36 days. In how many days can they do it all working together'?*

(a) 12 (b) 13 (c) 16 (d) 26

*20. A and B together can do a piece of work in 12 days, which Band C together can do in 16 days. After A has been working at it for 5 days and B for 7 days, C finishes in 13 days. In how many days C alone will do the work*

(a) 16 (b) 24 (c) 36 (d) 48

*21. A is twice as good a workman as B and together they complete a work in 15 days. In how many days can the work be completed by B alone?)*

(a) 22 ½ (b) 30 (c) 37 ½ (d) 45

*22. 45 men can complete a work in 16 days. Six days after they started working, 30 more men joined them. How many days will they now take to complete the remaining work?*

(a) 4 (b) 5 (c) 6 (d) 8

*23. 12 men can complete a work in 18 days. Six days after they started working, 4 men joined them. How many days will all of them take to finish the remaining work?*

(a) 9 (b) 10 (c) 12 (d) 15

*24. Twelve men can complete a work in 8 days. Three days after they started the work, 3 more men joined. In how many days will all of them together complete the remaining work?*

(a) 2 (b) 4 (c) 5 (d) 6

*25. A, B and C are employed to do a piece of work for Rs. 529. A and C are supposed to finish 19/23 of the work together. How much shall be paid to B ?*

(a) Rs. 82 (b) Rs. 92 (c) Rs. 300 (d) Rs. 437

*26. A job is completed by 10 men in 20 days and by 20 women in 15 days. How many days will it take for 5 men and 10 women to finish that work?*

(a) 17 ½ (b) 17 1/7 (c) 17 (d) 17 1/120

*27. A piece of work can be done by 6 men and 5 women in 6 days or 3 men and 4 women in 10 days. It can be done by 9 men and 15 women in :*

(a) 1 day (b) 2 days (c) 3 days (d) 4 days

*28. 4 men and 6 women finish a job in 8 days, while 3 men and 7 women finish it in 10 days. In how many days will 10 women working together finish it ?*

(a) 24 (b) 32 (c) 36 (d) 40

*29. 12 children take 16 days to complete a work which can be completed by 8 adults in 12 days. 16 adults started working and after 3 days 10 adults left and 4 children joined them. How many days will it take them to complete the remaining work?*

(a) 6 (b) 8 (c) 4 (d) 3

*30. Ram can do a piece of work in 8 days which Shyam can finish in 12 days. If they work at it on alternate days with Ram beginning, in how many days, the work will be finished?*

(a) 9 1/3 (b) 9 ½ (c) 91/24 (d) 10 1/3

*31. A and B working separately can do a piece of work in 9 and 12 days respectively. If they work for a day alternately, A beginning, in how many days the work will be completed?*

(a) 10 ½ (b) 10 1/3 (c) 10 ¼ (d) 10 2/3

*32. A, Band C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?*

(a) 7 days (b) 8 days (c) 9 days (d) 10 days

*33. Machines A and B produce 8000 clips in 4 and 6 hours respectively. If they work alternately for 1 hour, A starting first, then 8000 clips will be produced in :*

(a) 4 1/3 hours (b) 4 2/3 (c) 5 1/3 hrs (d) 5 2/3 hrs

*34. A father can do a job as fast as his two sons working together. If one son does the job in 3 hours and the other in 6 hours, how many hours does it take the father to do the job?*

(a) 1 (b) 2 (c) 3 (d) 4

*35. A sum of money is sufficient to pay A's wages for 21 days and B's wages for 28 days. The same money is sufficient to pay the wages of both for:*

(a) 12 days (b) 14 days (c) 12 ¼ days (d) 24 ½ days

*36. A alone can fmish a piece of work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of total wages of Rs. 225, the amount (in rupees) that A will get, is :*

(a) 90 (b) 112.50 (c) 135 (d) 150

*37. A can do a piece of work in 6 days and B alone can do it in 8 days. A and B undertook to do it for Rs. 640. With the help of C, they finished it in 3 days. How much is paid to C ?*

(a) Rs. 75 (b) Rs. 80 (c) Rs. 120 (d) Rs. 160

*38. A, Band C together earn Rs. 300 per day, while A and C together' earn Rs. 188 and Band C together earn Rs. 152. The daily earning of C is :*

(a) Rs. 150 (b) Rs. 112 (c) Rs. 68 (d) Rs. 40

*39. Sunil can complete a work in 4 days whereas Dinesh can complete it in 6 days. Ramesh works 1 ½ times as fast as Sunil. How many days will it take for the three together to complete the work?*

(a) 7 / 12 (b) 1 5/7 (c) 1 5/12 (d) None of these

*40. If 10 men or 18 boys can do a piece of work in 15 days, then 25 men and 15 boys together will do twice the work in :*

(a) 4 ½ days (b) 9days (c) 8 days (d) 36 days

*41. A certain number of men complete a piece of work in 60 days. If there were 8 men more, the work could be finished in 10 days less. How many men were originally there?*

(a) 30 (b) 32 (c) 36 (d) 40

*42. The rates of working of A and B are in the ratio 5 : 6. The number of days taken by them to finish the work are in the ratio:*

(a) 5 : 6 (b) 25 : 36 (c}'6 : 5 (d) None of these

*43. If 1 man or 2 women or 3 boys can do a piece of work in 44 days, then the same piece of work will be done by 1 man, 1 woman and 1 boy in :*

(a) 21 days (b) 24 days (c) 26 days (d) 33 days

*44. 8 men can dig a pit in 20 days. If a man works half as much again as a boy, then 4 men and 9 boys can dig a similar pit in :*

(a) 10 days (b) 12 days (c) 15 days {d} 16 days

*45. A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 40 days, then together ,all will finish the work in :*

(a) 131/3 days (b) 15 days (c) 20 days (d) 30 days

*46. A and B can separately do apiece of work in 20 and 15 days respectively. They worked together for 6 days, after which B was replaced by C. If -the work was finished in next 4 days, then the number of days in which C alone could do the work will be*

(a) 60 (b) 40 (c) 35 (d) 30

*47. A, B and C can do a piece of work in 36, 54 and 72 days respectively. They started the work but A left 8 days before the completion of the work while B left 12 days before the completion. The number of days for which C worked is :*

(a) 4 (b) 8 (c) 12 (d) 24

**ANSWERS**

1. (a) 2.(c) 3.(a) 4.(b) 5.(c) 6.(c) 7.(d) 8.(c) 9.(a)

10. (c) 11.(d) 12.(b) 13.(b) 14.(c) 15.(a) 16.(b) 17.(a) 18.(d) 19(c)

20. (b) 21.(d) 22(c) 23.(a) 24.(b) 25.(b) 26.(b) 27.(c) 28(d) 29(a)

30.(b) 31.(c) 32.(b) 33.(b) 34.(b) 35.(a)

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