SSC CGL 2023 PYQ — Question 64

SSC CGL - 18 July 2023 - Shift 1 • Quantitative Aptitude • Q64

A can finish a work in 20 days and B can complete the same work in 15 days. B worked for 9 days and left the job. In how many days can A alone finish the remaining work?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 8 days.

A can finish a work in 20 days and B can complete the same work in 15 days

L.C.M(20 and 15) = 60

The efficiency of A = 60/20 = 3 units

The efficiency of B = 60/15 = 4 units

B worked for 9 days = 4 × 9 = 36 units

Remaining work = 60 - 36 = 24

Time taken by A = 24/3 = 8 days