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? ?->(Show Answer!)

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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? ?->(Show Answer!)

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1. 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?

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By: guest on 01 Jun 2017 05.49 pm

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.

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