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Question 100

A person A can turnout thrice as much work as B can do. B alone can complete that work in 20 days. After both of them worked together for 4 days, A left the work and B continued till the end. Then the time (in days) taken by B to complete the remaining work after A left the job, is

Solution

Let the total work be 60 units.
Hence, capacity of B = 3 units/day and thus, capacity of A = 9 units/day
A and B work together for 4 days, hence, work completed = 48 units
Remaining work = 12 units completed by B in 12/3 = 4 days

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