A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is

A work can be finished in 16 days by twenty women. The same work can be finished in fifteen days by sixteen men. The ratio between the capacity of a man and a woman is

  1. 1:3
  2. 4:3
  3. 2:3
  4. 2:1

Answer : 2

Solution :

Work done by 20 women in 1 day = 1/16

Work done by 1 woman in 1 day = 1/(16*20)

Work done by 16 men in 1 day = 1/15

Work done by 1 man in 1 day = 1/(15*16)

Ratio of the capacity of a man and woman =1/(15*16) : 1/(16*20) = 1/15 : 1/20

= 1/3 :1/4 = 4:3

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