Multiple choice

Working 7 hours a day, 18 persons can complete a certain work in 32 days. In how many days would 14 persons complete the same work, working 8 hours a day?

  1. 42

  2. 30

  3. 35

  4. 36
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Use the formula (M1*D1*H1) / W1 = (M2*D2*H2) / W2. (18 * 32 * 7) / W = (14 * D * 8) / W. 18 * 32 * 7 = 14 * D * 8. 4032 = 112 * D. D = 4032 / 112 = 36.

AI explanation

Using the workforce formula M1 times D1 times H1 equals M2 times D2 times H2, we substitute the given values: 18 times 32 times 7 equals 14 times D2 times 8. This simplifies to 4032 equals 112 times D2. Solving for D2, we get 36 days.

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