Question : A and B together can finish a work in 20 days. If they worked together for 8 days, then what was the share of work that was yet to be completed?
Option 1: $\frac{3}{5}$
Option 2: $\frac{4}{5}$
Option 3: $\frac{2}{5}$
Option 4: $\frac{1}{5}$
Correct Answer: $\frac{3}{5}$
Solution :
Given,
A and B together can finish a work in 20 days.
If A and B together can finish a work in 20 days, then they complete $\frac{1}{20}$ part of the work in a day.
In 8 days, they can complete $\frac{1}{20}×8$ = $\frac{2}{5}$ of the whole work.
So, the required share of work that was yet to be completed = $1−\frac25$ = $\frac35$
Hence, the correct answer is $\frac35$.
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