4 men’s work is equal to 6 women’s work, and 4 women’s work is equal to 6 boys’ work. A boy can finish the work in 60 days. In how many days can the work be finished by a man and a woman together?

This question was previously asked in
SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 1)
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  1. 16
  2. 24
  3. 20
  4. 12

Answer (Detailed Solution Below)

Option 1 : 16
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Detailed Solution

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Calculation:

According to the question,

4M = 6W

⇒ M : W = 3 : 2

Again, 4W = 6B

⇒ W : B = 3 : 2

So, M : W : B = 9 : 6 : 4

A boy can finish the work in 60 days, so total work = (60 × 4) = 240 unit

Now, a man and a woman together can do the work in 240/15 = 16 days

∴ The correct answer is 16 days

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