Multiple choice

16 persons working 6 hours a day can complete a work in 10 days. In how many days, 24 persons working 8 hours a day will complete 80% of that work?

  1. 3

  2. 6

  3. 4

  4. 8
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Using the formula (M1*D1*H1)/W1 = (M2*D2*H2)/W2: (16*10*6)/1 = (24*D2*8)/0.8. 960 = 192*D2/0.8 => 960 = 240*D2 => D2 = 4.

AI explanation

Using the formula relating workers, hours, and days, calculate the total work as 16 persons times 6 hours times 10 days to equal 960 man-hours. The target work is 80 percent of the original, which is 768 man-hours, and the new team provides 24 persons times 8 hours per day, equaling 192 man-hours daily. Dividing the total target work of 768 man-hours by the daily input of 192 man-hours results in 4 days.

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