SSC MTS 2022 PYQ — Question 66

SSC MTS - 19 July 2022 - Shift 1 • Quantitative Aptitude • Q66

A work that could be completed in 10 days was completed in 8 days as 5 more men joined at the start of work. What was the total number of men before the 5 men joined?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 20.

Explanation :

Let the number of men before 5 people join be x.

Now given that, work done by x men in 10 days = work done by (x + 5) men in 8 days

So, x × 10 = (x + 5) × 8

⇒ 10x = 8x + 40

⇒ 10x - 8x = 40

⇒ 2x = 40 

⇒ x = 20

Hence the number of men initially was 20.