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A and B together can do a piece of work in 16 days. A having worked for 8 days, B finishes the remaining work alone in 32 days. In how many days, shall B finish the whole work alone? 

A and B together can do a piece of work in 16 days. A having worked for 8 days, B finishes the remaining work alone in 32 days. In how many days, shall B finish the whole work alone?  Correct Answer 48

Let A’s 1 day work = x

B’s 1 day work = y

Then, x+ y = 1/16 and 8x + 32y = 1

Solving these two equations, we get

x = 1/24 and y = 1/48

So, B will complete work in 48 days

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