Target Exam

CUET

Subject

General Aptitude Test

Chapter

Numerical Ability

Topic

Time and Work

Question:

Three men can complete a work in 6 days and 5 women can complete the same work in 18 days. In how many days can 4 men and 10 women together complete the same work?

Options:

3

$3\frac{1}{2}$

2

$2\frac{1}{2}$

Correct Answer:

3

Explanation:

Three men can complete a work in 6 days

one men one day work = 1/(6*3) = 1/18

four men one day work = 4/18 = 2/9

5 women can complete the same work in 18 days

one women one day work = 1/(18*5) = 1/90

10 women one day work = 10/90 =1/9

if they work together, one day work = 2/9 + 1/9 = 3/9 = 1/3

Time taken to complete  the work = 3 days

The correct answer is Option (1) → 3