Question
Download Solution PDFA and B together can do a piece of work in 20 days, while B alone can finish it in 25 days. How many days will A take to complete the same work alone?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven
Work done by A and B in 20 days
Work done by B alone in 25 days
Concept:
The difference of reciprocals of times taken by two entities working together and one entity alone gives the work rate of the other entity.
Solution:
Work rate of A and B together = 1/20
Work rate of B alone = 1/25
Work rate of A alone = (1/20) - (1/25) ⇒ 0.01
Time taken by A to complete the work alone = 1/0.01 ⇒ 100 days
Therefore, A will take 100 days to complete the same work alone.
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