Time and Work


  1. 10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will one women can finish the work ?









  1. View Hint View Answer Discuss in Forum

    ∵ One man alone finishes te work in 100 days.
    ⇒ 10 men can finish the work in 10 day.
    ⇒ 15 women can finish work in one days = 1/6 - 1/10 = 1/15 work

    Correct Option: D

    ∵ One man alone finishes te work in 100 days.
    ⇒ 10 men can finish the work in 10 day.
    ⇒ 15 women can finish work in one days = 1/6 - 1/10 = 1/15 work
    ⇒ 15 women finish the whole work in 15 days
    ∴ 1 women finishes the whole work in = 15 x 15 = 225 days


  1. Two friend A and B working together completed a work in 26 days. Their skills of doing the work are in the ratio 8 : 5. How many days will B take, if engaged alone ?









  1. View Hint View Answer Discuss in Forum

    Skill ratio of A and B = 8 : 5
    So, the time taken by A and B 5W and 8W, respectively.
    According to the question, 1/8W + 1/5W = 1/26

    Correct Option: A

    Skill ratio of A and B = 8 : 5
    So, the time taken by A and B 5W and 8W, respectively.
    According to the question, 1/8W + 1/5W = 1/26
    ∴ W = (13 x 26)/40
    Now, time taken by B is 8W = 8 x 13 x 26/40
    = 673/5 days.



  1. X can do 1/4 of work in 10 days, Y can do 40% of the same work in 40 days and Z can do 1/3 of the work in 13 days. Who will complete the work first ?









  1. View Hint View Answer Discuss in Forum

    Time taken to complete the work by X =10 x 4 = 40 = 40 days
    Time taken to complete the work by Y = (40 x 100)/40 = 100 days
    Time taken to complete the work by Z = 13 x 3 = 39 days

    Correct Option: C

    Time taken to complete the work by X =10 x 4 = 40 = 40 days
    Time taken to complete the work by Y = (40 x 100)/40 = 100 days
    Time taken to complete the work by Z = 13 x 3 = 39 days
    Hence, Z will complete the work first.


  1. When A alone does a piece of work, he takes 25 days more than the time taken by (A + B) to complete that particular work, while B alone takes 49 days more than the time taken by (A + B) to finish the same work . A and B together will take what time for finish this work?









  1. View Hint View Answer Discuss in Forum

    According to the formula,
    Required time = √ab
    Where a = 25 and b = 49

    Correct Option: A

    According to the formula,
    Required time = √ab
    Where a = 25 and b = 49
    ∴ Require time = √25 x 49 = 5 x 7
    = 35 days



  1. If one man or two woman or three boys can finish a work in 88 days , then how many days will one man one woman and one boys together take to finish the same work ?









  1. View Hint View Answer Discuss in Forum

    1 man = 2 woman = 3 boys
    ∴ 1 man + 1 woman + 1 boy = (3 + 3/2 + 1) boys = 11/2 boys
    Here M1 = 3 M2 = 11/2, D1 = 88 and D2 = ?
    According to the formula
    M1D1 = M2D2
    ∴ D2 = M1D1/M2

    Correct Option: C

    1 man = 2 woman = 3 boys
    ∴ 1 man + 1 woman + 1 boy = (3 + 3/2 + 1) boys = 11/2 boys
    Here M1 = 3 M2 = 11/2, D1 = 88 and D2 = ?
    According to the formula
    M1D1 = M2D2
    ∴ D2 = M1D1/M2
    ∴ Required number of days
    = 3 x 2 x 88/11 = 3 x 2 x 8 = 48 days