Question 89

4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If, 2 men, 4 women and 10 children work together, in how many days can the work be completed ?

Solution

Let us first get a relation between the work done by a man, woman and a child.

1 man can do a work in 4*2 = 8 days

1 woman can do the same work in 4*4 = 16 days

1 child can do the same work in 4*5 = 20 days

=> 1 man = 2.5 child and 1.25 woman = 0.8 child

2 men + 4 women + 10 children = 5 + 5 + 10 = 20 children

1 child takes 20 days to complete a work => 20 children will take 1 day to complete the same work.

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