Question

Twelve men and 5 women can complete a work in 2 days whereas 4 men and 3 women can complete the same work in 5 days. In how many days can 8 men complete the work?

Options

• 3

• 4

• 5

• 6

Answer 1

4

Explanation:

Let one man and one woman can complete the same work in x and y days respectively.

Then,

`12/"x"+5/"y"=1/2` ...........(i)

and `4/"x"+3/"y"=1/5` .............(ii)

From (i) and (ii), we have

`4/"y"=1/10`

⇒ y = 40 days.

then, `12/"x"+5/420=1/2`,

`"x"=(12xx8)/3=32` days.

∴ 8 men complete whole work in `32/8` = 4 days.