Question 34

X does 25% of a work in 20 days. Y joins X and they together finish the remaining work in 15 days. Y alone can do the whole work in days.

Solution

x completes 25% in 20 days

Then, x will complete 100% in 80 days

Now 75% of work is complted by x + y in 15 days

Then 100% of work will be completed by x + y in 20 days

So, y alone can complete the work = $$\frac{1}{20}-\frac{1}{80}=\frac{3}{80}=\frac{80}{3}=26\frac{2}{3}$$.

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