A can do a piece of work in 25 days and B can do it in 20 days. They work together for 5 days and A leaves. In how many days will B finish the remaining work.
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Step-by-step explanation:
In one day, A can do - 1/25
In one day, B can do = 1/20
In one day, together A and B can complete 1/25 + 1/20 = 9/100
A and B together worked for 5 days.
=> so worked completed in 5 days A & B = 5 * 9/100 = 45/100.
Work left to be completed by B = 1 - 45/100 = 55/100.
1 : 20 ::55/100: x
Product of means = product of extremes
20 * 55/100 = 1 * x
=> x = 55/100 * 20 = 11 days.
Thus B takes 11 days to complete the remaining work.
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