6 men or 12 women can do a piece of work in 20 days. In

Home » Aptitude » Time and Work » Question

6 men or 12 women can do a piece of work in 20 days. In how many days can 8 men and 16 women do twice as big as this work ?

1. 2 days
2. 5 days
3. 15 days
4. 10 days

Correct Option: C

6 men = 12 women
∴ 1 man = 2 women
Now, 8 men + 16 women
= (8 × 2 + 16) women = 32 women
∵ 12 women can do a work in 20 days.
∴ 1 woman can do the work in 20 × 12 days.
∴ 32 women can do the twice work in

=	20 × 12 × 2	= 15 days
	32

Aliter : Using Rule 12,
Here, A = 6, B= 12, a = 20
A₁ = 8, B₁ = 16

Time taken =	a(A × B)
	A₁B + B₁A

=	20 (6 × 12)
	8 × 12 + 16 × 6

=	20 × 72	=	15
	192		2

They will do the twice as big work in

2 ×	15	days = 15 days
	2