Time and Work - Arithmetic Aptitude Questions and Answers

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Discussion :: Time and Work

Twenty women can do a 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?

3 : 4

4 : 3

5 : 3

Data inadequate

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Answer : Option B

Explanation :

(20 x 16) women can complete the work in 1 day.

1 woman's 1 day's work = $\frac { 1 } { 320 }$

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

1 man's 1 day's work = $\frac { 1 } { 240 }$

so,required ratio = $\frac { 1 } { 240 }$ : $\frac { 1 } {320 }$

= $\frac { 1 } { 3}$ : $\frac { 1 } {4}$

= 4 : 3 (cross multiplied)

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