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Arithmetic Aptitude :: Time and Work

  1. A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is :

  2. A.

    \( \frac { 1 } { 4 }\)

    B.

    \( \frac { 1 } { 10 }\)

    C.

    \( \frac {7} { 15 }\)

    D.

    \( \frac {8 } { 15 }\)


  3. A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:

  4. A.

    9\(\frac { 1 } {5} \)days

    B.

    9\(\frac { 2} {5} \)days

    C.

    9\(\frac {3} {5} \)days

    D.

    10


  5. A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?

  6. A.

    12 days

    B.

    15 days

    C.

    16 days

    D.

    18 days


  7.  In how many days can 10 women finish a work?

    I.10 men can complete the work in 6 days

    II.10 men and 10 women together can complete the work in \( \left(\frac{33 } { 7}\right)\) days

    III.If 10 men work for 3 days and thereafter 10 women replace them, the remaining work in completed in 4 days

  8. A.

    Any two of the three

    B.

    I and II only

    C.

    II and III only

    D.

    I and III only

    E.

    None of these


  9. A is thrice as good as workman as B and therefore is able to finish a job in 60 days less than B. Working together, they can do it in:

  10. A.

    20days

    B.

    22\( \frac { 1 } { 2 } \)days

    C.

    25 days

    D.

    30 days


  11. 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 Rs. 3200. With the help of C, they completed the work in 3 days. How much is to be paid to C?

  12. A.

    Rs. 375

    B.

    Rs. 400

    C.

    Rs. 600

    D.

    Rs. 800


  13. If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be:

  14. A.

    4 days

    B.

    5 days

    C.

    6 days

    D.

    7 days


  15. A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it?

  16. A.

    8 hours

    B.

    10 hours

    C.

    12 hours

    D.

    24 hours


  17. A can do a certain work in the same time in which B and C together can do it. If A and B together could do it in 10 days and C alone in 50 days, then B alone could do it in:

  18. A.

    15 days

    B.

    20 days

    C.

    25 days

    D.

    30 days


  19. A does 80% of a work in 20 days. He then calls in B and they together finish the remaining work in 3 days. How long B alone would take to do the whole work?

  20. A.

    23 days

    B.

    37 days

    C.

    37\(\frac { 1 } { 2 } \)

    D.

    40 days


  21. A machine P can print one lakh books in 8 hours, machine Q can print the same number of books in 10 hours while machine R can print them in 12 hours. All the machines are started at 9 A.M. while machine P is closed at 11 A.M. and the remaining two machines complete work. Approximately at what time will the work (to print one lakh books) be finished ?

  22. A.

    11:30 A.M.

    B.

    12 noon

    C.

    12:30 P.M.

    D.

    1:00 P.M.


  23. A can finish a work in 18 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work?

  24. A.

    5

    B.

    5\( \frac { 1 } { 2 } \)

    C.

    6

    D.

    8


  25. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it in 10 days. In how many days will 10 women complete it?

  26. A.

    35

    B.

    40

    C.

    45

    D.

    50


  27. A and B can together finish a work 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 work?

  28. A.

    40

    B.

    50

    C.

    54

    D.

    60


  29. P can complete a work in 12 days working 8 hours a day. Q can complete the same work in 8 days working 10 hours a day. If both P and Q work together, working 8 hours a day, in how many days can they complete the work?

  30. A.

    5\(\frac {5} {11 } \)

    B.

    5\(\frac {6} {11 } \)

    C.

    6\(\frac {5} {11 } \)

    D.

    6\(\frac {6} {11 } \)


  31. 10 women can complete a work in 7 days and 10 children take 14 days to complete the work. How many days will 5 women and 10 children take to complete the work?

  32. A.

    3

    B.

    5

    C.

    7

    D.

    Cannot be determined

    E.

    None of these


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

  34. A.

    6 days

    B.

    10 days

    C.

    15 days

    D.

    20 days


  35. A is 30% more efficient than B. How much time will they, working together, take to complete a job which A alone could have done in 23 days?

  36. A.

    11 days

    B.

    13 days

    C.

    20\( \frac { 3 } { 17 }\)days

    D.

    None of these


  37.  

    Ravi and Kumar are working on an assignment. Ravi takes 6 hours to type 32 pages on a computer, while Kumar takes 5 hours to type 40 pages. How much time will they take, working together on two different computers to type an assignment of 110 pages?

  38. A.

    7 hours 30 minutes

    B.

    8 hours

    C.

    8 hours 15 minutes

    D.

    8 hours 25 minutes


  39. A, B and C can complete a piece of work in 24, 6 and 12 days respectively. Working together, they will complete the same work in:

  40. A.

    \( \frac { 1 } { 24 }\)day

    B.

    \( \frac { 7 } { 24 }\)day

    C.

    3\( \frac { 3 } {7}\)day

    D.

    4 days


  41. Sakshi can do a piece of work in 20 days. Tanya is 25% more efficient than Sakshi. The number of days taken by Tanya to do the same piece of work is:

  42. A.

    15

    B.

    16

    C.

    18

    D.

    25


  43. A takes twice as much time as B or thrice as much time as C to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in:

  44. A.

    4 days

    B.

    6 days

    C.

    8 days

    D.

    12 days


  45. A and B can complete a work in 15 days and 10 days respectively. They started doing the work together but after 2 days B had to leave and A alone completed the remaining work. The whole work was completed in :

  46. A.

    8 days

    B.

    10 days

    C.

    12 days

    D.

    15 days


  47. A and B can do a piece of work in 30 days, while B and C can do the same work in 24 days and C and A in 20 days. They all work together for 10 days when B and C leave. How many days more will A take to finish the work?

  48. A.

    18 days

    B.

    24 days

    C.

    30 days

    D.

    36 days


  49. A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in

  50. A.

    4 days

    B.

    6 days

    C.

    8 days

    D.

    18 days


  51. Twenty women can do a work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

  52. A.

    3 : 4

    B.

    4 : 3

    C.

    5 : 3

    D.

    Data inadequate


  53. A and B can do a work in 8 days, B and C can do the same work in 12 days. A, B and C together can finish it in 6 days. A and C together will do it in :

  54. A.

    4 days

    B.

    6 days

    C.

    8 days

    D.

    12 days


  55. A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in:

  56. A.

    5 days

    B.

    6 days

    C.

    10 days

    D.

    10\(\frac { 1 } { 2 } \)days


  57. X can do a piece of work in 40 days. He works at it for 8 days and then Y finished it in 16 days. How long will they together take to complete the work?

  58. A.

    13\( \frac { 1 } { 3 } \)days

    B.

    15 days

    C.

    20 days

    D.

    26 days


  59. A and B can do a job together in 7 days. A is 1\(\frac {3 } { 4 } \)times as efficient as B. The same job can be done by A alone in :

  60. A.

    9\( \frac { 1 } {3 } \)days

    B.

    11 days

    C.

    12\(\frac { 1 } { 4 } \)days

    D.

    16\( \frac { 1 } {3 } \)days