Question
'P' completes a work in 18 days whereas 'Q' completes
the work in 54 days. Both of them started the work together, but 'Q' left the work 6 days before the completion of work. Find the total time taken to complete the work.Solution
Let the total work be 54 units (LCM of 18 and 54)
Efficiency of 'P' = (54/18) = 3 units/day
Efficiency of 'Q' = (54/54) = 1 unit/day
Let the required time be 'T' days.
So, 3 Ă— T + 1 Ă— (T - 6) = 54
Or, 3T + T - 6 = 54
Or, 4T = 60
Or, 'T' = 15
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