Time and Work


  1. A contractor undertook a work to complete in 60 days. But just after 20 days he observed that only 1/5th of the project work had been completed. To complete the work in time (i.e,In rest days) minimum how many workers he had to increase, if there were initially 75 workers were deployed for the task?









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    Work done = 1/5
    remaining work = 4/5
    ∴ 4 (20 x 75) = 40 x N
    N = 150
    Therefore 75 men should be increased.

    Correct Option: C

    Work done = 1/5
    remaining work = 4/5
    ∴ 4 (20 x 75) = 40 x N
    N = 150
    Therefore 75 men should be increased.


  1. If 2 men or 3 women or 4 boys can do a piece of work in 52 days. Then the same piece of work will be done by 1 man, 1 woman and 1 boy in ?









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    Work done by 2 men = 3 woman = 4 boys
    ∴ 1 man = 2 boys
    1 woman = 4/3 boys
    ∴ boys X days = 4 X 52 (boys - days)
    Again 1 man + 1 woman + 1 boy = 2 + 4/3 + 1 = 13/3 boys

    Correct Option: A

    Work done by 2 men = 3 woman = 4 boys
    ∴ 1 man = 2 boys
    1 woman = 4/3 boys
    ∴ boys X days = 4 X 52 (boys - days)
    Again 1 man + 1 woman + 1 boy = 2 + 4/3 + 1 = 13/3 boys
    B1 x D1 = B2 x D2 B = boys, D = days
    4 X 52 = 13/3 x D2
    D2 = 48 days



  1. The Ratio of efficiencies of A, B and C is 6 : 5 : 4 and if A, B and C received total Rs. 27000 for the whole work. What is the share of C, if the money is distributed in the ratio of amount of work done, individually?









  1. View Hint View Answer Discuss in Forum

    Ratio of efficiencies of A,B and C = 6 : 5 : 4
    ∴ Share of C = [4/(6+5+4)] x 27000 = 7200

    Correct Option: B

    Ratio of efficiencies of A,B and C = 6 : 5 : 4
    ∴ Share of C = [4/(6+5+4)] x 27000 = 7200


  1. 314 weavers weaves 6594 shawls in 1/6 hours. What is the number of shawls weaved per hour by an average weaver?









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    In 1 hour 314 weavers weave = 6594 x 6 shawls
    In 1 hour 1 weaver weaves = ( 6594 x 6 ) / 314 shawls = 126 shawls

    Correct Option: D

    In 1 hour 314 weavers weave = 6594 x 6 shawls
    In 1 hour 1 weaver weaves = ( 6594 x 6 ) / 314 shawls = 126 shawls



  1. 2 men or 5 women or 7 boys can finish a work in 469 days, then the number of days taken by 7 men, 5 women and 2 boys to finish the work is :









  1. View Hint View Answer Discuss in Forum

    2 men = 7 boys
    ⇒ 1 man = 7/2 days

    5 women = 7 boys
    ⇒ 1 women = 7/5 boys

    Correct Option: D

    2 men = 7 boys
    ⇒ 1 man = 7/2 days

    5 women = 7 boys
    ⇒ 1 women = 7/5 boys

    7 men + 5 women + 2 boys = 7 x 7/2 + 5 x 7/5 + 2 = 67/2 boys
    Now, B1 x D1 = B2 x D2
    7 X 469 = 67/2 x D2
    D2 = 98 days