Question
A and B together can complete a piece of work in
30 days while A alone can complete 60% of the work in 45 days. Find the time taken by B to complete 74% of the work.Solution
Time taken by A to complete the whole work = 45/0.60 = 75 days
Let total work = 150 units
Amount of work done by A and B together in one day = 150/30 = 5 units
Amount of work done by A alone in one day = 150/75 = 3 units
Amount of work done by B in one day = 5 – 2 = 3 units
Desired time = 0.74 × 150/3 = 37 days
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