Multiple choice

15 men can complete a work in 12 days. 4 days after they started the work, 3 men left and 8 more men joined. How many days will it take to complete the remaining work?

  1. 10 days.

  2. 12 days.

  3. 11 days.

  4. 6 days.

  5. 7 days.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Total work = 15 * 12 = 180 units. Work done in 4 days = 15 * 4 = 60 units. Remaining work = 120 units. New men = 15 - 3 + 8 = 20 men. Time = 120 / 20 = 6 days.

AI explanation

Using the man-days formula, the total work is 15 men multiplied by 12 days, equaling 180 man-days. The work done in the first 4 days is 15 men multiplied by 4 days, equaling 60 man-days, leaving 120 man-days of remaining work. The new workforce is 15 minus 3 plus 8, equaling 20 men, so dividing the 120 remaining man-days by 20 men gives 6 days. The result is 6 days.

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