7 men and 2 women work together five times as much work as one man and one woman. Find the working capacities of one man and one woman in ratio:

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CISF Constable Tradesman Official Paper (Held On: 31 Oct, 2023 Shift 2)
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  1. 5 : 6
  2. 1 : 2
  3. 3 : 2
  4. 2 : 1

Answer (Detailed Solution Below)

Option 3 : 3 : 2
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Detailed Solution

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Given:

7 men and 2 women work together five times as much work as one man and one woman.

Formula used:

Let the working capacity of one man be M and that of one woman be W.

Calculation:

According to the given condition:

7M + 2W = 5(M + W)

⇒ 7M + 2W = 5M + 5W

⇒ 7M - 5M = 5W - 2W

⇒ 2M = 3W

⇒ M/W = 3/2

∴ The correct answer is option (3).

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