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### Discussion :: Time and Work

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?
2.  A. 30 days B. 40 days C. 60 days D. 70 days

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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