SSC CGL 2023 PYQ — Question 73

SSC CGL - 14 July 2023 - Shift 1 • Quantitative Aptitude • Q73

A can complete a piece of work in 25 days while B can complete the same work in 30 days. They work on alternate basis, starting with A. Both A and B follow this pattern for 5 days and then A leaves the work. In how many days will B finish the remaining work?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is Option 1 i.e 24(2/5)

A can complete a piece of work in 25 days while B can complete the same work in 30 days.

L.C.M(25, and 30) = 150

The efficiency of A = 150/25 = 6 units

The efficiency of B = 150/30 = 5 units

A work for 1st day = 6 units

B work for 2nd day = 5 units

A work for 3rd day = 6 units

B work for 4th day = 5 units

A work for 5th day = 6 units

Total work in 5 days = 28 units

Remaining work = 150 - 28 = 122

B finish the remaining work in = 122/5 = 24(2/5) days