SSC CPO 2022 PYQ — Question 137

SSC CPO - 10 Nov 2022 - Shift 3 • Quantitative Aptitude • Q137

A and B can complete a work in 36 days and 45 days respectively. They worked together for 2 days and then A left the work. In how many days will B complete the remaining work?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 40.5

Given that

A * 36 = B * 45

A/B = 45/36 = 5/4

Total work = 36 * 5 or 45 * 4 = 180

According to the question

(A + B) * 2 + B * d = Total work = 180

9 * 2 + 4 *d = 180

d = (180 - 18) /4 = 162/4 = 40.5 days