Question 106

Sixteen men can complete a work in fifteen days, twenty-four children can do the same work in twenty days. In how many days will eight men and eight children, complete the same work ?

Solution

16 men can complete a work in 15 days

1 man can complete the work in (16*15) days

24 children can do the same work in 20 days

1 child can complete the work in (24*20) days

let x be the no.of days taken by 8 men and 8 children to complete the work, then

1/x = 8/(16*15) + 8/(24*20)

1/x = 1/30 + 1/60

1/x = 3/60

x = 20

answer is option D.


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