If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 d...........

Quantitative Aptitude (CDS) Time and work

If 12 men and 16 boys can do a piece of work in 5 days and 13 men and 24 boys can do it in 4 days .Find the ratio of the daily work done by a man with that done by a boy?

5:4

1:2

2:1

4:1

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Explanation:

12 men and 16 boys complete the work in 5 days
one days work is 1/5
12men + 16 boys=1/5 ....equation1
13men + 24 boys=1/4 ....equation2
solving 1 and 2
10men=3/5 -2/4
10men=2/20
men=1/100
one man completes work in 100 days
in equation1 putting value
12/100 +16 boys= 1/5
16 boys=1/5 - 12/100
16 boys=8/100
1 boy=1/200
one boy complete work in 200 days
comparing daily work man and boy is 2:1