Question

A team consisting of 10 men and 9 women can do a piece of work in 9 days and another team consisting of 8 men
and 15 women in 8 days. In how many days can the work be done by 16 men and 12 women?

Answer 1

It is given that 5 men or 9 women can do the job in 19 days.

So, 5 men=9 women

1 man =

5

9

women

3 men = 3 (

5

9

) women

So, work done = 3 men+6 women = 3 (

5

9

)+6

=

5

27

+6

=

5

57

Now,

W

1

M

1

D

1

=

W

2

M

2

D

2

,

let D

2

=x

W

1

9∗19

=

W

2

5

57

∗x

⟹9∗19=

5

57x

⟹3=

5

x

⟹x=15 days

So, option (b) is correct.

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