Multiple choice

6 men or 17 women can paint a wall in 33 days. The number of days required to paint three such walls by 12 men and 32 women working at the same rate?

  1. 21.5

  2. 25.5

  3. 27

  4. 25

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

6 men paint 1 wall in 33 days, so 1 wall = 6 × 33 = 198 man-days. 17 women paint 1 wall in 33 days, so 1 wall = 17 × 33 = 561 woman-days. For 3 walls: total work = 3 × 198 = 594 man-days or 3 × 561 = 1683 woman-days. With 12 men and 32 women working together: daily work = 12/198 + 32/561 = 0.0606 + 0.0570 = 0.1176 walls. Days for 3 walls = 3/0.1176 ≈ 25.5 days. Option B matches.

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