SSC CHSL 2025 PYQ — Question 61

SSC CHSL - 12 Nov 2025 - Shift 3 • Quantitative Aptitude • Q61

A and B together can do a piece of work in 10 days. B alone can do it in 15 days. How long will A alone take to complete the work?

Show answer & explanation

Correct answer: C

Explanation

Time taken by A + B working together = 10 days
Time taken by B alone = 15 days
Work rate of A + B = 1/10
Work rate of B = 1/15
Work rate of A =110−115=3−230=130\frac{1}{10} - \frac{1}{15} = \frac{3 - 2}{30} = \frac{1}{30}
Time taken by A to complete the work = 30 days