How Long will it Take to Finish the Work? If

3 men can do a piece of work in 6 days, 5 women can do the same work in 18 days. If 4 men and 10 women work together, then how long will it take to finish the work?

  1. 3 days
  2. 5 days
  3. 2 days
  4. 4 days
vijay Professor Asked on 5th August 2015 in Maths.
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  • 1 Answer(s)

    Answer: (1) 3 days

    Explanation:-
    3 men can do a piece of work = 6 days
    Then, 1 man can do work in a day = /3 x 6
    = 1/ 18
    Therefore, 4 men can do the same work = 4/18
    = 2/9

    5 women can do the same work = 18 days
    Then,  1 woman can do same work in a day = 1 /18 x 5
    = 1 / 90
    10 women can do the work = 10/ 90
    = 1/9

    4 men and 10 women work together in day = 2/ 9 + 1/ 9
    = 3 / 9
    = 1/3
    Then, 4 men and 10 women work together can finish the work = 3 days
    Hence, the answer is (1) 3 days.

    Anurag Mishra Professor Answered on 6th August 2015.
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