Exams › SSC CGL (Prelims) › General

A, B, and C together can complete a task in 6 days. If A alone takes 12 days and B alone takes 18 days, how long will C alone take?

1. 19 days
2. 30 days
3. 12 days
4. 36 days

Correct answer: 36 days

Solution

Their combined rate is \(1/6\) work per day. A's rate is \(1/12\) and B's rate is \(1/18\), so C's rate is \(1/6-1/12-1/18=1/36\). Hence C alone takes 36 days.

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