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?
Choose the correct option.
A) 30 days	B) 40 days	C) 50 days	D) 60 days	E) 70 days
Let A's 1 day's work = x and B's 1 day's work = y.   Then, x + y =1/30 and 16x + 44y = 1.   Solving these two equations, we get: x =1/60	and y =1/60   B's 1 day's work =	1/60	.   Hence, D alone shall finish the whole work in 60 days.   Answer : 60 days
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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?