X and Y can complete a task in 15, 10 days respectively. After the two of them worked together for 3 days X joined Z instead of work. If all the work is completed in the next 4 days, how many days can Z alone complete the work?
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Step-by-step explanation:
Given:
(X + Y) can finish a work = 15 days
Y alone can finish the same work in = 25 days
Concept:
Fraction of work done = (No. of work done)/(Total no. of days required to complete the work)
Calculation:
(X + Y) 1 day's work = 1/15
1 day's work of Y = 1/25
∴ 1 day work of X = (1/15 ─ 1/25) = 2/75
∴ X can do the work in 37.5 days
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