John can complete a work in 9 days, whereas John and Smith together can complete the same work in 6 days. How long will it take for Smith alone to complete the work?
John can complete a work in 9 days, whereas John and Smith together can complete the same work in 6 days. How long will it take for Smith alone to complete the work? Correct Answer 18 Days
Time taken by John = 9 days
Time taken by John and Smith = 6 days
Let the total work be LCM of 9 and 6 = 54 unit
Work done by John in 1 day = 54/9 = 6 unit
Work done by John and Smith in 1 day = 54/6 = 9 unit
Time taken by Smith to complete the work alone = 54/(9 - 6) = 18 days
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Feb 20, 2025