Multiple choice

Choose the correct answer from the alternatives given. 2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can finish it in 8 days. Number of days taken by 2 men and I boy to finish it will be

  1. 13$\dfrac{1}{2}$ days
  2. $13$ days
  3. 12 $\dfrac{1}{2}$days
  4. $14$ days
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Let M be men's daily work and B be boys' daily work. 10(2M + 3B) = 1, so 2M + 3B = 0.1. 8(3M + 2B) = 1, so 3M + 2B = 0.125. Solving the system: M = 0.0375, B = 0.00833. For 2M + 1B, work per day = 2(0.0375) + 0.00833 = 0.0833. Days = 1 / 0.0833 = 12.5 days.

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