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Twenty Women Can Do a Piece of Work in Sixteen Days. Sixteen Men Can Complete the Same Work in Fifteen Days. What is the Ratio Between the Capacity of a Man and a Woman? - Mathematics

MCQ

Twenty women can do a piece of work in sixteen days. Sixteen men can complete the same work in fifteen days. What is the ratio between the capacity of a man and a woman?

Options

  • 3 : 4

  • 4 : 3

  • 5 : 3

  • Data inadequate

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Solution

4 : 3
Explanation:
(20 x 16) women can complete the work in 1 day.

∴ 1 woman's 1 day's work = `1/320`

( 16 x 15) men can complete the work in 1 day.

1 man's 1 day's work = `1/240`

So the required ratio = `1/240:1/320=1/3:1/4=4:3`

 

Concept: Time and Work (Entrance Exam)
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