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
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Answer:
Ratio of the capacity of a man and a woman is 4 : 3.
Step-by-step explanation:
Given:
Number of days taken by 20 women to finish work = 16
Number of days taken by 16 men to finish work = 15
To find: Ratio of the capacity of a man and a women.
Work done by 20 women in a day = 1/16
Work Done by 1 woman in a day = 1/(16 × 20) = 1/320
Work done by 16 men in a day = 1/15
Work Done by 1 man in a day = 1/(15 × 16) = 1/240
Thus, ratio of their capacity = 1/240 : 1/320
= 320 : 240
= 4 : 3
Therefore, Ratio of the capacity of a man and a woman is 4 : 3.
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