Exams › SSC CGL (Prelims) › General

M and N can complete a certain project together in 36 days. After M works for 20 days, N is left to finish the remaining work by himself in 52 days. How many days would it take N to complete the entire project on his own?

1. 78 days
2. 84 days
3. 72 days
4. 96 days

Correct answer: 72 days

Solution

Let M’s and N’s daily work rates be \(m\) and \(n\). Then \(m+n=1/36\). Also, after M works for 20 days, the remaining work is what N completes in 52 days, so \(1-20m=52n\). Solving these two equations gives \(n=1/72\), so N alone takes 72 days.

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