Question
A and B together can complete a piece of work in 30 days
while A alone can complete 50% of the work in 20 days. Find the time taken by B to complete 70% of the work.Solution
Time taken by A to complete the whole work = 20/0.50 = 40 days Let total work = 120 units Amount of work done by A and B together in one day = 120/30 = 4 units Amount of work done by A alone in one day = 120/40 = 3 units Amount of work done by B in one day = 4 – 3 = 1 units Desired time = 0.70 × 120/1 = 84 days
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