Question
If ‘X’ finishes a project in 24 days whereas ‘X’
and ‘Y’ working together can finish it in 15 days, then determine the time ‘Y’ alone will take to finish the project.Solution
ATQ,
Let the total work = 120 units {LCM (24 and 15)}
Efficiency of ‘Y’ = (120/24) = 5 units/day
Efficiency of ‘X’ and ‘Y’ together = (120/15) = 8 units/day
Efficiency of ‘Y’ = (8 – 5) = 3 units/day
Time taken by ‘Y’ to complete the project alone = (120/3) = 40 days
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