AFCAT II 24 Aug 2019 Paper

Let 1 man and 1 boy can complete the work in x and yhours respectively.
then, Amount of work done by 1 man and 1 boy in 1hour

1

x

+

1

y

Amount of work done by 3 men and 6 boys in 1 hour =

3

x

+

6

y

According to the question

3

x

+

6

y

=5(

1

x

+

1

y

)

6−5

y

=

5−3

x

1

y

=

2

x

x

y

=

2

1

Hence, ratio of work done by 1 man to 1 boy = 2 : 1.