Multiple choice

16 men can finish a work in 12 days. After they worked for 4 days, some more men joined them and they together completed the remaining work in 4 more days. How many more men joined in?

  1. 8

  2. 16

  3. 32

  4. 10
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total work = 16 * 12 = 192 man-days. Work done in 4 days = 16 * 4 = 64 man-days. Remaining work = 192 - 64 = 128 man-days. Remaining time = 4 days. Men needed = 128 / 4 = 32. Original men = 16. New men joined = 32 - 16 = 16.

AI explanation

Using the man-days formula, the total work is 16 men multiplied by 12 days, which equals 192 man-days. In the first 4 days, 16 men complete 64 man-days of work. The remaining work is 192 minus 64, which is 128 man-days. To finish this remaining work in 4 days, the required number of men is 128 divided by 4, which equals 32 men. Since 16 men were already working, the number of extra men who joined is 32 minus 16, which equals 16 men.

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