Multiple choice

Two men and 7 women can complete a work in 28 days whereas 6 men and 16 women can do the same work in 11 days. In how many days can 7 men complete the same work?

  1. 22

  2. 20

  3. 18

  4. 15

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

Let one man's daily work = m and one woman's daily work = w. From given: (2m+7w)×28 = 1 and (6m+16w)×11 = 1. Solving simultaneously gives m = 1/154 and w = 1/308. For 7 men: combined rate = 7×(1/154) = 1/22 per day, so time = 22 days.