SSC GD 2023 PYQ — Question 42

SSC GD Constable (English) - 1 Feb 2023 - Shift 2 • Quantitative Aptitude • Q42

Samreen and Garima completed a piece of work together in 8 days. If Samreen can complete the same work in 10 days working independently, in how many days will Garima complete the same work alone ?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 40

Given that

Samreen can do work alone in 10 days

Samreen and Garima together complete a piece of work in 8 days

Total work = LCM(10, 8) = 40 days

The efficiency of Samreen = 40/10 = 4

The efficiency of Garima and Smareen = 40/8 = 5

So, the efficiency of Garima = 5 - 4 = 1

Hence, Garima can do work alone = 40/1 = 40 days