Question 36

A boy, a man and a woman can do a work independently in 72, 12 and 48 days respectively. The number of women required to assist 6 boys and a man to complete that work in 2 days is

Solution

A boy can do in 1 day (1/72) part of work.

A man can do in 1 day (1/12) part of work.

A women can do in 1 day (1/48)part of work.

6 boys can do in 1 day (6/72)=1/12 part of work.

let say ,x number of women needed.

So,6 boys,1 man and x women can do work in 1 day=(1/12+1/12+x/48) unit.

so, in 2 days they will do=(1/6+1/6+x/24).

So,(1/3+x/24)=1.

or,x/24=1-1/3=2/3.

or, x=16.

B is correct choice.

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