A does 75% of a work in 25days. After that Z joined and they together finish the remaining work in 5 days. In how many days Z can complete the whole work alone?
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Z alone will take 50 days to complete the work
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Z can complete the whole work in 50 days
Let the total work be equal to x
Work done by A in 25 days = 75x/100
= 0.75x
Work done by A in one day = 0.75x/25
Let one day work of Z = y
Work done by A and Z in 5 days = 0.25x
=> Five day work of A + five day work of Z = 0.25x
=> 0.75x/25 × 5 + 5 × y = 0.25x
=> 5y = 0.1x
=> y = 0.1x/5
Time taken by Z to complete the work alone
=> One day work × no. of days = total work
=> 0.1x/5 ×t = x
=> t = 50 days
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