Multiple choice

24 men can do a piece of work in 12 days if they work 8 hours per day. Find the number of days in which 36 men can do 6 hour per day ?

  1. 14

  2. 17

  3. 16

  4. 18

  5. 11

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

Using the work formula: M1 × D1 × H1 = M2 × D2 × H2. Given: 24 men × 12 days × 8 hours = 2304 man-hours. For 36 men working 6 hours per day: 36 × 6 × D2 = 2304, so D2 = 2304 / 216 = 10.67 days. However, this doesn't match 11. Let me recalculate: 24 × 12 × 8 = 2304. 36 × 6 × D = 2304, so D = 2304/(36×6) = 2304/216 = 10.67. The answer should be approximately 11 days (rounding up since you can't have a fraction of a day in practice).