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If 2 men or 3 women or 4 boys can do a piece of work in 52 days, then in how many days will the same piece of work be done by 1 man, 1 woman and 1 boy working together?

Question and options

If 2 men or 3 women or 4 boys can do a piece of work in 52 days, then in how many days will the same piece of work be done by 1 man, 1 woman and 1 boy working together?
  1. 48
  2. 36
  3. 45
  4. 50

Answer and explanation

Correct answer: A - 48
1 man alone takes 104 days, 1 woman 156 days and 1 boy 208 days. Combined rate = 1104+1156+1208=6+4+3624=13624=148\frac{1}{104} + \frac{1}{156} + \frac{1}{208} = \frac{6 + 4 + 3}{624} = \frac{13}{624} = \frac{1}{48}, so they finish in 48 days.

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  • CUSAT CAT Five-Year LL.B.

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