A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :

Question: A works twice as fast as B. If B can complete a work in 12 days independently, the number of days in which A and B can together finish the work in :
[A].

4 days

[B].

6 days

[C].

8 days

[D].

18 days

Answer: Option A

Explanation:

Ratio of rates of working of A and B = 2 : 1.

So, ratio of times taken = 1 : 2.

B’s 1 day’s work =	1	.
	12

A’s 1 day’s work =	1	; (2 times of B’s work)
	6

(A + B)’s 1 day’s work =		1	+	1		=	3	=	1	.
		6		12			12		4

So, A and B together can finish the work in 4 days.