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?

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SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 3)
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  1. \(2 \frac{8}{11}\)
  2. \(4 \frac{6}{11}\)
  3. \(1 \frac{2}{11}\)
  4. \(3 \frac{4}{11}\)

Answer (Detailed Solution Below)

Option 1 : \(2 \frac{8}{11}\)
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Detailed Solution

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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  \(2 \frac{8}{11}\).

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