Time And Work Q73

73.	A and B together can do a piece of work in 30 days. A having worked for 16 days, B finishes the remaining work alone in 44 days. In how many days shall B finish the whole work alone?
	A. 30 days B. 40 days C. 60 days D. 70 days

Answer: Option C

Explanation:

Let A's 1 day's work = x and B's 1 day's work = y.

Then, x + y =	1	and 16x + 44y = 1.
	30

Solving these two equations, we get: x =	1	and y =	1
	60		60

B's 1 day's work =	1	.
	60

Hence, B alone shall finish the whole work in 60 days.