Multiple choice

20 men can complete a piece of work in 16 days. After 5 days from the start of the work, some men left. If the remaining work was completed by the remaining men 18(1/3) days, how many men left after 5 days from the start of the work?

  1. 10 men

  2. 9 men

  3. 8 men

  4. 6 men

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total work is 20 men * 16 days = 320 man-days. After 5 days, 20 * 5 = 100 man-days are done, leaving 220 man-days. If x men remain, x * (55/3) = 220, so x = 12. Since 20 - 12 = 8 men left, the answer is 8.

AI explanation

Using the man-days formula, the total work is 20 men times 16 days, which equals 320 man-days. In the first 5 days, the 20 men complete 100 man-days of work, leaving 220 man-days remaining. Let the number of remaining men be x. The equation is x multiplied by 55/3 equals 220. Solving for x gives x = 220 times 3/55, which equals 12 men. Therefore, the number of men who left the work is 20 minus 12, resulting in 8 men.

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