Question
A and B together can complete a piece of work in
30 days while A alone can complete 50% of the work in 40 days. Find the time taken by B to complete 75% of the work.Solution
Time taken by A to complete the whole work = 40/0.50 = 80 days
Let total work = 240 units
Amount of work done by A and B together in one day = 240/30 = 8 units
Amount of work done by A alone in one day = 240/80 = 3 units
Amount of work done by B in one day = 8 – 3 = 5 units
Desired time = 0.75 × 240/5 = 36 days
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