Question
‘P’ and ‘Q’ can complete a task together in 24
days. If ‘P’ alone can do it in 40 days, find the number of days ‘Q’ alone will take to finish the task.Solution
ATQ, Let the total work be LCM(24, 40) = 120 units. Combined efficiency of ‘P’ and ‘Q’ = 120 ÷ 24 = 5 units/day Efficiency of ‘P’ = 120 ÷ 40 = 3 units/day Efficiency of ‘Q’ = 5 - 3 = 2 units/day Time taken by ‘Q’ alone = 120 ÷ 2 = 60 days
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