Question

If 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same work in 2 days, the time taken by 15 men and 20 boys in doing the same type of work will be

Options

• 4 days

• 5 days

• 6 days

• 7 days

Answer 1

4 days
Explanation:
Let 1 man's 1 day's work = x
and 1 boy's 1 day's work = y

Then, `6x+8y=1/10`

and `26x+48y=1/2`

Solving these two equations, we get

`x=1/100`

and `y=1/200`

(15 men + 20 boy)'s 1 day's work

= `(15/100+20/200)=1/4`

∴ 15 men and 20 boys can do the work in 4 days.