Multiple choice

Working 7 hours a day, 4 men can do a piece of work in 8 days. Working 8 hours in a day, the required number of men to perform the same work in 4 days will be

  1. 8

  2. 4

  3. 7

  4. 9

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work = 4 men * 7 hours * 8 days = 224 man-hours. New setup: x men * 8 hours * 4 days = 32x. 32x = 224, so x = 7.

AI explanation

Using the constant work formula M1 times D1 times H1 equals M2 times D2 times H2, the total work is 4 men times 8 days times 7 hours per day. Setting this equal to M2 men times 4 days times 8 hours per day gives the equation 224 equals 32 times M2. Solving for M2 yields 7, so the required number of men is 7.