10 women can do a work in 6 days and 6 men can do the same work in 5 days. If all these men and women work together, then how many days will they take to finish this work?

Question

Question

This question was previously asked in

SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)

Answer 1

Given :

10 women can do a work in 6 days.

6 men can do the same work in 5 days.

Formula Used :

Work Done = time × efficiency

Calculation :

⇒ 10W × 6 = 6M × 5

⇒ 60W = 30M

⇒ W/M = 1/2

Total Work = 60

Time = 60/(10 × 1 + 6 × 2)

⇒ 60/22 = 30/11

⇒ \(2 \frac{8}{11}\)

∴ The correct answer is \(2 \frac{8}{11}\).