Multiple choice

2 men, 3 women and 5 boys together can complete a work in 10 days. A man does double the work a woman does and a woman does double the work a boy does. How many boys alone can complete the 50% of the total work in 5 days?

  1. 17

  2. 18

  3. 19

  4. 15

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

Let work done by 1 boy = 1 unit/day. Then woman = 2 units/day, man = 4 units/day. 2 men + 3 women + 5 boys = 2(4) + 3(2) + 5(1) = 8 + 6 + 5 = 19 units/day. Total work = 19 × 10 = 190 units. 50% of work = 95 units. If n boys do 95 units in 5 days: n × 1 × 5 = 95, so n = 19 boys.

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