Time and Work - Arithmetic Aptitude Questions and Answers

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Discussion :: Time and Work

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?

30 days

40 days

60 days

70 days

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Answer : Option C

Explanation :

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

Then, x + y = $\frac { 1 } { 30 }$ and 16x + 44y = 1.

Solving these two equations, we get: x = $\frac { 1 } { 60 }$ and y= $\frac { 1 } {60 }$

B's 1 day's work = $\frac { 1 } {60 }$

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

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