Multiple choice

3 men, 4 women and 6 boys can complete a work in 7 days. A woman does double the work a man does and a boy does half the work a man does. How many women alone can complete the work in 7 days?

  1. 8

  2. 7

  3. 12

  4. 14

  5. can't be determined
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let 1 man's work = 1 unit/day. Then 1 woman = 2 units, 1 boy = 0.5 units. Combined work per day = 3(1) + 4(2) + 6(0.5) = 3 + 8 + 3 = 14 units. Total work = 14 × 7 = 98 units. For 7 women: work per day = 7 × 2 = 14 units. So 7 women complete 98 units in 98/7 = 7 days.

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