General TestIf 12 men or 15 women or 18 boys can do a piece of work in 15 days of 8 hours each, find how many men assisted by 5 women and 6 boys will finish the same work in 16 days of 9 hours each.

If 12 men or 15 women or 18 boys can do a piece of work in 15 days of 8 hours each, find how many men assisted by 5 women and 6 boys will finish the same work in 16 days of 9 hours each.

  1. A

    6 men

  2. B

    2 men

  3. C

    8 men

  4. D

    4 men

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    Solution:

    Given, 

    12 men=15 women =18 boys

    1 Man = 1.5 boys, 1 woman= 6/5 boys.

    Now,

    SW+ 6B = 12B

    Required answer is calculated as follows :

    Total no. of boys reqd

    =18×[(15/16)×(8/9)]

    =15 boys

    The number of boys already present= 12.

    Hence, 3 boys more required.

    But 3 boys =2 men. 

    So, 2 men are required.

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