Question
If ‘P’ can complete a task in 24 days and ‘P’
with ‘Q’ together can finish it in 15 days, then how many days will ‘Q’ take to complete the work alone?Solution
Let the total work = 120 units {LCM (24 and 15)} Efficiency of ‘P’ = (120/24) = 5 units/day Efficiency of ‘P’ and ‘Q’ together = (120/15) = 8 units/day Efficiency of ‘Q’ = (8 – 5) = 3 units/day Time taken by ‘Q’ to finish the work alone = (120/3) = 40 days
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