Multiple choice

Six men, working together all day, can finish a piece of work in 19 days, but two of them having other engagements can devote only one-half and one-quarter of their time, respectively. How long will it take for them to complete the work?

  1. 21 days

  2. 24 days

  3. 25 days

  4. 28 days

  5. 30 days
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Total work = 6 men * 19 days = 114 man-days. The new capacity is 4 men + 0.5 men + 0.25 men = 4.75 men. Time = 114 / 4.75 = 24 days.

AI explanation

Calculate the total work as the product of workers and time, which is 6 men working for 19 days to equal 114 man-days. Since two men only work half and quarter time, their effective combined daily contribution is 0.5 plus 0.25, equaling 0.75 of a man, making the total effective workforce 4.75 men per day. Dividing the total work of 114 by the daily workforce of 4.75 gives 24 days to complete the work.

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