Multiple choice

If 12 men or 18 women can reap a field in 14 days, then working at the same rate, 8 men and 16 women can reap the same field in

  1. 5 days

  2. 6 days

  3. 8 days

  4. 9 days

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

12M = 18W, so 1M = 1.5W. 8M + 16W = 8(1.5W) + 16W = 12W + 16W = 28W. Using 18W * 14 days = 28W * D days, D = (18 * 14) / 28 = 18 / 2 = 9 days.

AI explanation

Given 12 men equal 18 women in capacity, 1 man equals 1.5 women. The team of 8 men and 16 women is equivalent to 12 women plus 16 women, totaling 28 women. Since 18 women take 14 days, the total work is 252 woman-days, and dividing this by 28 women gives 9 days.