Multiple choice

12 men can complete a work in 30 days by working 9 hours a day. What is the number of men required to complete 10 times of this work in 24 days by working 5 hours a day ?

  1. 200

  2. 220

  3. 250

  4. 270
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Use M1*D1*H1 / W1 = M2*D2*H2 / W2. (12 * 30 * 9) / 1 = (M2 * 24 * 5) / 10. 3240 = M2 * 120 / 10 = 12 * M2. M2 = 3240 / 12 = 270.

AI explanation

Using the combined work formula (M1 x D1 x H1) / W1 = (M2 x D2 x H2) / W2, substitute the values to get (12 x 30 x 9) / 1 = (M2 x 24 x 5) / 10. This simplifies to 3240 equals 12 times M2, which means the required number of men is 270.

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