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Question
A can lay railway track between two given stations in 16 days and B can do the same job in 12 days. With help of C, they did the job in 4 days only. Then, C alone can do the job in:
Options
`9 1/5` days
`9 2/5` days
`9 3/5` days
10
MCQ
Solution
`9 3/5` days
Explanation:
(A + B + C)’s 1 day's work = `1/4`
A’s 1 day’s work = `1/16`
B’s 1 day’s work = `1/12`
∴ C’s 1 day’s work = `1/4 - (1/16 + 1/12) = (1/4 - 7/48) = 5/48`
So, C alone can do the work in `48/5 = 9 3/5` days.
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Time and Work (Entrance Exam)
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