Multiple choice

36 persons working 8 hours a day can do 3 units of work in 12 days. How many persons are required to do 5 units of that work in 16 days, if they work for 6 hours a day?

  1. 50

  2. 55

  3. 60

  4. 45
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C Correct answer
Explanation

Using the formula (M1*D1*H1)/W1 = (M2*D2*H2)/W2, we have (36*12*8)/3 = (M2*16*6)/5. This simplifies to 1152 = (96*M2)/5. Solving for M2 gives M2 = (1152*5)/96 = 60.

AI explanation

Using the formula for work equivalence, (P1 * H1 * D1) / W1 = (P2 * H2 * D2) / W2. Substituting the given values yields (36 * 8 * 12) / 3 = (x * 6 * 16) / 5. Solving for x gives x = (36 * 8 * 12 * 5) / (3 * 6 * 16), which simplifies to 60.

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