Question

A and B together can complete a piece of work in 30 days while A alone can complete 50% of the work in 25 days. Find the time taken by B to complete 20% of the work.

A 17 days Correct Answer Incorrect Answer
B 16 days Correct Answer Incorrect Answer
C 15 days Correct Answer Incorrect Answer
D 24 days Correct Answer Incorrect Answer

Solution

Time taken by A to complete the whole work = 25/0.50 = 50 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 = 150/50 = 3 units
Amount of work done by B in one day = 5 – 3 = 2 units
Desired time = 0.20 × 150/2 = 15 days

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