SSC CGL 2020 PYQ — Question 68

SSC CGL - 7th March 2020 Shift 1 • Quantitative Aptitude • Q68

Ten men or twelve women can finish the same work in 10 days. If 5 men and9 2 women undertake the work together, how many days will they take to complete the work?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 15.

Understanding/Application

Total work = total time × (men + women)

10 men or 12 women can finish the same work in 10 days.

10m(10) = 12w(10)

5m = 6w

Let the same work be completed in x days by 5 men and 2 women.

Total work done by 5 men and 2 women = (5m + 2w)x

12w(10) = (6w + 2w)x

120w = 8wx

x = 15 days