Question
'C' and 'D' together can complete a work in 40 days.
They started working together but after 20 days, 'D' left and remaining work was completed by 'C' alone in 15 days. Find the time taken by 'C' to complete the whole work alone.Solution
ATQ, Part of the work completed by 'C' and 'D' together in 20 days = (20/40) = 1/2 Therefore, remaining part of work =1- (1-2) = 1/2, which is completed by 'C' in 15 days. Therefore, total time taken by 'C' to complete the whole work alone = {(15/(1/2)} = 15×2 = 30 days
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