Question
'K' and 'L' together can complete a work in 24 days.
They started working together but after 16 days, 'L' left and remaining work was completed by 'K' alone in 8 days. Find the time taken by 'K' to complete the whole work alone.Solution
ATQ, Part of the work completed by 'K' and 'L' together in 16 days = 16/24 = 2/3 Therefore, remaining part of work =1-(2/3) = 1/3,which is completed by 'K' in 8 days. Therefore, total time taken by 'K' to complete the whole work alone =8/(1/3) = 8×3 = 24 days
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