Exams › SSC CGL (Prelims) › General

If 10 men or 15 women can complete a work in 170 days, how long will 20 men and 20 women take to complete the same work?

1. 52 days
2. 50 days
3. 51 days
4. 53 days

Correct answer: 51 days

Solution

If 10 men finish the work in 170 days, then 1 man’s 1-day work is \(\frac{1}{10\times170}\). Similarly, 1 woman’s 1-day work is \(\frac{1}{15\times170}\). Adding the rates of 20 men and 20 women gives the total daily work, from which the time comes out to 51 days.

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