H

Harikesh • 8.04K Points
Tutor III Math 

Q. 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days

  • (A) 6
  • (B) 9
  • (C) 5
  • (D) 7
Correct Answer - Option(D)
Explanation by: Harikesh 
Let 1 woman's 1 day work = x.
Then, 1 man's 1 day work = x/2 and 1 child's 1 day work  x/4.
So, (3x/2 + 4x + + 6x/4) = 1/7
28x/4 = 1/7 => x = 1/49
1 woman alone can complete the work in 49 days.
So, to complete the work in 7 days, number of women required = 49/7 = 7.

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