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Question

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 will B finish the whole work alone?


A

30 days

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B

40 days

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C

60 days

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D

70 days

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E

None of these

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Solution

The correct option is C

60 days


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

Then x + y = 130 and 16x + 44y = 1

Solving these two equations, we get : x = 160 and y = 160

B's 1 day's work = 160

Hence B alone will finish the whole work in 60 days.


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