Time and Work

1.A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in :

A.5 days      B. 6 days       C. 10 days      D. 15 days      [SSC-99,03,06,11,13]

2.A particular job can be completed by a team of 10 men in 12 days. The same job can be completed by a team of 10 women in 6 days. How many days are needed to complete the job if the two teams work together?

A.4 days     B. 6 days       C. 9 days         D. 18 days                          [SSC -27.02.2000]

3.While working 7 hours a day, A alone can complete a piece of work in 6 days and B alone in 8 days. In what time would they complete it together, working 8 hours a day ?

A.3 days      B. 4 days      C. 2.5 days     D. 3.6 days       [SSC -27.07.2008]

4.A and B working together; can do a piece of work in 9/ 2 hours. B and C working together can do it in 3 hours. C and A working together can do it in 9/ 4 hours. All of them begin the work at the same time. Find how much time they will take to finish the piece of work.

A.3 hours     B. 2 hours     C. 2·5 hours      D. 3·25 hours     [SSC-11]

5.A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is :

A.18 hrs      B. 24 hrs    C. 30 hrs      D. 12 hrs          [SSC -13]

6. A can do a piece of work in 12 days and B in 15 days. They work together for 5 days and then B left. The days taken by A to finish the remaining work is

A.3      B. 5        C. 10      D. 12                            [SSC -14]

7.A takes three times as long as B and C together to do a job. B takes four times as long as A and C together to do the work. If all the three, working together can complete the job in 24 days, then the number of days, A alone will take to finish the job is

A.100      B. 96      C. 95     D. 90                                                   [SSC-14]

8.A can do 1 4 of a work in 10 days. B can do 1 3 of the work in 20 days. In how many days can both A and B together do the work ?

A.30 days     B. 32 days      C. 24 days     D. 25 days                     [SSC-14]

9.15 men take 20 days to complete a job working 8 hours a day. The number of hours a day should 20 men take to complete the job in 12 days

A.5 hours     B. 10 hours      C.15 hours     D. 18 hours           [SSC-14]

10.How many men need to be employed to complete a job in 5 days, if 15 men can complete 1 3 of the job in 7 days ?

A.20       B. 21       C.45      D. 63                                  [SSC-14]

11.A’s 2 days’ work is equal to B’s 3 days’ work. If A can complete the work in 8 days then to complete the work B will take

A.14 days     B.12 days       C. 15 days      D.16 days                     [SSC-15]

12.If 90 men can do a certain job in 16 days, working 12 hours per day, then the part of that work which can be completed by 70 men in 24 days, working 8 hours per day is

11.1 /3      B. 2/ 3      C. 7/ 9      D. 5/ 8                 [SSC-15]

13.A and B together can do a piece of work in 9 days. If A does thrice the work of B in a given time, the time A alone will take to finish the work is

A.4 days     B.6 days      C. 8 days     D. 12 days                             [SSC-16]

14.A can do as much work in 4 days as B can do in 5 days, and B can do as much work in 6 days as C in 7 days. In what time will C do a piece of work which A can do in a week ?

A.10( 5/ 24) days       B. 4 (4/ 5) days    C. 6( 8/ 15) days    D.12( 6/ 19) days                   [SSC-16]

15.A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how many days A alone can finish the job ?

A.50 days       B.60 days     C. 48 days    D. 54 days                                         [SSC-03,13]

16.8 men can do a work in 12 days. After 6 days of work, 4 more men were engaged to finish the work. In how many days would the remaining work be completed?

A.2      B. 3        C. 4        D. 5                                             [SSC-03]

17.A certain number of persons can complete a piece of work in 55 days. If there were 6 persons more, the work could be finished in 11 days less. How many persons were originally there ?

A.17         B. 24      C.30       D. 22                                                    [SSC-03]

18.A and B working separately can do a piece of work in 10 days and 15 days respectively. If they work on alternate days beginning with A, in how many days will the work be completed ?

A.18 days       B. 13 days      C. 12 days     D. 6 days                   [SSC-03]

19.A and B can do a piece of work in 20 days and 12 days respectively. A started the work alone and then after 4 days B joined him till the completion of the work. How long did the work last ?

A.10 days      B. 20 days       C. 15 days      D. 6 days                     [SSC-04]

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

A.4     B. 6      C.8        D. 10                           [SSC-2014]

21.If 12 men or 24 boys can do a work in 66 days, the number of days in which 15 men and 6 boys can do it is

A.44       B. 33        C.55       D. 66                                                      [SSC-14]

22.A certain number of men can do a piece of work in 40 days. If there were 45 men more the work could have been finished in 25 days. Find the original number of men employed in the work.

A.70      B. 85       C. 65       D. 75                    [SSC-14]

23.12 men can complete a work in 90 days. 30 days after they started work, 2 men left and 8 men joined. How many days will it take to complete the remaining work ?

A.90 days        B. 60 days    C. 40 days       D. 50 days                           [SSC-16]

24.If 3 men or 6 women can do a piece of work in 16 days, in how many days can 12 men and 8 women do the same piece of work?

A.4 days     B.5 days      C. 3 days      D. 2 days                                               [SSC-14]

25.If 10 men or 20 boys can make 260 mats in 20 days, then how many mats will be made by 8 men and 4 boys in 20 days?

A.260       B. 240      C. 280      D. 520                                   [SSC-99]

Z26.3 men and 4 boys can complete a piece of work in 12 days. 4 men and 3 boys can do the same work in 10 days. Then 2 men and 3 boys can finish the work in

A.35/ 2 days     B.60/ 11 days      C. 8 days      D. 22 days                             [SSC-12]

26.If 4 men or 6 women can do a piece of work in 12 days working 7 hours a day; how many days will it take to complete a work twice as large with 10 men and 3 women working together 8 hours a day? (1) 6 days

A.7 days       B. 8 days       C. 10 days         D.12 days                                                       [SSC-13]

27.A man is twice as fast as a woman and a woman is twice as fast as a boy in doing a work. If all of them, a man, a woman and a boy can finish the work in 7 days, in how many days a boy will do it alone ?

A.49       B.7       C. 6         D. 42                                               [SSC-14]

28.12 men and 16 boys can do a piece of work in 5 days; 13 men and 24 boys can do it in 4 days, then the ratio of the daily work done by a man to that of a boy is

A.2 : 1      B. 3 : 1      C.1 : 3       D.5 : 4                                                    [SSC-16]

29.3 men and 5 women can do a work in 14 days while 5 men can do it in 14 days. 5 men and 5 women can complete the work in

A.13 days     B. 11 days      C.10 days     D. 12 days                                    [SSC-17]

30.P can complete 1/4 of a work in 10 days, Q can complete 40% of the same work in 15 days, R, completes 1/3 of the work in 13 days and S, 1/6 of the work in 7 days. Who will be able to complete the work first ?

A.P      B. Q       C. R      D. S                                                                 [SSC-10]

31.Two workers A and B are engaged to do a piece of work. A working alone would take 8 hours more to complete the work than when work together. If B worked alone, would take 9/2 hours more than when work together. The time required to finish the work together is

A.5 hours    B.4 hours     C. 8 hours     D. 6 hours                                               [SSC-15]

32.A, B and C are employed to do a piece of work for Rs. 5,290. A and B together are supposed to do 19/23 of the work and B and C together 8/23 of the work. Then A should be paid

A.Rs. 4,250    B. Rs. 3,450     C. Rs. 1,950     D. Rs. 2,290                                  [SSC-14,15]

33.A can do a certain job in 12 days. B is 60% more efficient than A. Then B can do the same piece of work in

A.8 days     B. 15/2 days      C. 25/ 4 days      D. 6 days                                [SSC-16]

34.A, B and C contract a work for Rs. 440. A and B together are to do 9/ 11 of the work. The share of C should be :

A.Rs. 75      B. Rs. 90     C. Rs. 100     D. Rs. 80                                           [SSC-16]

35.A can do a piece of work in 70 days and B is 40% more efficient than A. The number of days taken by B to do the same work is

A.40 days     B. 60 days     C. 50 days       D. 45 days                            [SSC-12]

36.To complete a work, A takes 50% more time than B. 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. 45 days                                     [SSC-07]

37.A and B together can do a work in 12 days. B and C together do it in 15 days. If A’s efficiency is twice that of C, then the days required for B alone to finish the work is

A.60 days     B. 30 days    C. 20 days      D.15 days                                          [SSC-11]

38.A is thrice as good a workman as B and is, therefore, able to finish a piece of work in 60 days less than B. The time (in days) in which they can do it working together is

A.22 days       B. 45/2 days      C.23 days     D.93/ 4 days                                 [SSC-99,05,11,12]

39.A does 20% less work than B. If A can complete a piece of work in 15/2 hours, then B can do it in

A.13/2 hours      B.6 hours     C. 7hours      D.5 hours                              [SSC-06,13]

40.Kamal can do a work in 15 days. Bimal is 50 per cent more efficient than Kamal in doing the work. In how many days will Bimal do that work?

A.14 days      B. 12 days C. 10 days       D. 21/2 days                      [SSC-02,06]

41. A is thrice as good a workman as B and therefore is able to finish a job in 40 days less than B. Working together, they can do it in

A.14 days       B. 13 days     C. 20 days     D.15 days                                  [SSC-11]

41.A is 30% more efficient than B, and can alone do a work in 23 days. The number of days, in which A and B, working together can finish the job is

A.11 days      B. 13 days      C. 20 days      D.21 days                                     [SSC-11]

43.Two workers A and B working together completed a job in 5 days. If A worked twice as efficiently as he actually did and B worked 1/3 as efficiently as he actually did, the work would have been completed in 3 days. To complete the job alone, A would require

A.26/ 5 days     B.25/4 days      C.15/2 days     D.35/4 days                             [SSC-13]

44.Two persons can complete a piece of work in 9 days. How many more persons are needed to complete double the work in 12 days?

A.3      B. 2      C. 4      D. 1                                                                                          [SSC-06]

45.3 men and 7 women can do a job in 5 days, while 4 men and 6 women can do it in 4 days. The number of days required for a group of 10 women working together, at the same rate as before, to finish the same job is :

A.30 days      B. 36 days     C. 40 days      D. 20 days                                                  [SSC-13]

46.Suman can do a work in 3 days. Sumati can do the same work in 2 days. Both of them finish the work together and get 150. What is the share of Suman ?

A.30      B. 60     C. 70      D. 75                                                       [SSC-99]

47.A alone can do a piece of work in 6 days and B alone in 8 days. A and B undertook to do it for 3200. With the help of C they completed the work in 3 days. How much is to be paid to C ?

A.375    B. 400      C.600      D. 800                                             [SSC-04]

48.If 5 men or 7 women can earn 5,250 per day, how much would 7 men and 13 women earn per day ?

A.11,600     B. 11,700      C.16,100      D.17,100                              [SSC-10]

49.2 men and 1 woman can complete a piece of work in 14 days while 4 women and 2 men can do the same work in 8 days. If a man gets Rs. 180 per day, then a woman will get per day

A.Rs. 150      B. Rs. 140       C. Rs. 120     D. Rs. 160                                          [SSC-14]

50.The daily wages of A and B respectively are Rs.3.50 and Rs. 2.50. When A finishes a certain work, he gets a total wage of Rs. 63. When B does the same work, he gets a total wage of Rs.75. If both of them do it together what is the cost of the work ?

A.Rs. 67.50     B. Rs. 27.50     C. Rs. 60.50      D. Rs. 70.50                              [SSC-16]

51.A farmer can plough a field working 6 hours per day in 18 days. The worker has to work how many hours per day to finish the same work in 12 days ?

A.7 hrs     B. 9 hrs       C.11 hrs       D.13 hrs                                                  [SSC-13]

52.150 workers were engaged to finish a piece of work in a certain number of days. Four workers dropped on the second day, four more workers dropped on third day and so on. It takes 8 more days to finish the work now. Find the number of days in which the work was completed?

A.28       B. 24      C.25      D.30                                                                    [SSC-15]