Home / Arithmetic Aptitude / Time and Work :: Discussion

Discussion :: Time and Work

1. 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?

2.  A. 3 : 4 B. 4 : 3 C. 5 : 3 D. Data inadequate

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)

Be The First To Comment