12 men working 8 hours a day can completely build a wall of length 100 m, breadth 20 cm and height 5 m in 10 days. How many days will 16 men working 10 hours a day require to build a wall of length 200 m, breadth 60 cm and height 5 m ?

  1. A. 18
  2. B. 24
  3. C. 27
  4. D. 36

Correct Answer: D. 36

Explanation

Work W1 is proportional to 100 * 0.2 * 5 = 100. W2 is proportional to 200 * 0.6 * 5 = 600. Using M1*D1*H1/W1 = M2*D2*H2/W2, we get (12*10*8)/100 = (16*D2*10)/600. Solving for D2 yields 36 days.

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