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Thread: Time and Work

  1. #1
    Trying to make mom and pop proud
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    Thumbs up Time and Work

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    2 Men and 5 Women can do 1/4 of the work in 3 days. After 3 days 1 man joined in the group and completed another 1/4 of the work in 2 days. How many men need to complete the work in 4 days.
    a) 6 b) 24 c) 12 d) 16

  2. #2
    Trying to make mom and pop proud
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    1. 2M+5W---> take 4*3 =12 days to complete the work;

    2. 3M+5W---> take 4*2 =8 days to complete the work; (1 man joined and 1/4th of the work was done in 2 days)

    => 2M+5W---> can do 1/12th work in 1 day------(1)

    => 3M+5W---> can do 1/8th work in 1 day----(2)

    Subtracting (2) from (1), we get 1 man can do 1/24th work in 1 day or 1 man takes 24 days to complete the work.

    It means that to complete the work in 4 days, 24/4=6 men are needed.

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