Multiple choice

5 men finish a work in 24 days, working 6 hours a day; while 10 women finish the same work, working 8 hours a day. Given that 2 men work as much as 3 women, the number of days in which the women finish the work is

  1. 10 ¼

  2. 12

  3. 13 ½

  4. 15

  5. 15 ¾
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Work = 5 men * 24 days * 6 hours = 720 man-hours. 2 men = 3 women, so 1 man = 1.5 women. 5 men = 7.5 women. 7.5 women * 24 days * 6 hours = 1080 woman-hours. Women work 8 hours/day. Days = 1080 / (10 women * 8 hours) = 1080 / 80 = 13.5 days.

AI explanation

Using the efficiency relation 2 men = 3 women, the 10 women are equivalent to 20/3 men. The total work in man-hours is 5 men * 24 days * 6 hours/day = 720 man-hours. The number of days required by 10 women is 720 man-hours divided by (20/3 men * 8 hours/day), which calculates to 13 1/2 days.

Keep practicing — related questions