Question
X can do a piece of work in 20 days. He worked at it for
4 days and then Y finished it in 16 days. In how many days can X and Y together finish the work?Solution
X’s four days work = 4/20 = 1/5
Remaining work = 1 – 1/5 = 4/5
This work was done by Y in 16 days.
Y does 4/5th of the work in 16 days, he will finish the work in 16 × 5/4 = 20 days.
X & Y together would take 1/20 + 1/20 = 2/20 = 1/10 i.e. 10 days to complete the work.
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