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Q.

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.

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a

4 men

b

8 men

c

2 men

d

6 men

answer is B.

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Detailed 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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