Multiple choice

Working 6 hours a day, Raman can complete a piece of work in 24 days. How many hours a day should he work so as to finish the work in 18 days?

  1. 8

  2. 10

  3. 12

  4. 16

Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Total work = 6 hours/day * 24 days = 144 man-hours. To finish in 18 days, hours/day = 144 / 18 = 8.

AI explanation

Applying the inverse proportion formula for work, the number of men multiplied by hours per day equals the number of days multiplied by hours per day for the same workload. We calculate the total man-hours required as 6 hours multiplied by 24 days, giving 144 hours. To finish this work in 18 days, divide the total hours by the days: 144 divided by 18 equals 8 hours per day. He should work 8 hours a day.