Multiple choice

If 12 men can build a 96 m long wall by working for 5 hours a day, then what will be the length of a similar wall that can be built by 25 men, working for 2 hours a day?

  1. 80 m

  2. 40 m

  3. 50 m

  4. 60 m

  5. None of these
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A Correct answer
Explanation

Using the formula (M1 * D1 * H1) / W1 = (M2 * D2 * H2) / W2. (12 * 5) / 96 = (25 * 2) / W2. 60 / 96 = 50 / W2. W2 = 50 * 96 / 60 = 50 * 1.6 = 80 m.

AI explanation

Using the work equivalence formula, M1*D1*H1/W1 = M2*D2*H2/W2, we substitute the given values: (12*5)/96 = (25*2)/W2. This establishes the equation 60/96 = 50/W2, which simplifies to 5/8 = 50/W2. Solving for W2 gives a wall length of 80 m.

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