3 men or 5 women can solve a problem in 3 days. In how many days can 1 man and 2 women solve the same problem?
Answers
Step-by-step explanation:
3 days because 3 men and 5 women can solve problem in 3 days so 1 man and 2 women solve same problem in 3 days
About 4.1 days are taken by 1 man and 2 women solve the same problem if 3 men or 5 women can solve a problem in 3 days.
Given:
3 men or 5 women can solve a problem in 3 days
To Find:
In how many days can 1 man and 2 women solve the same problem?
Solution:
3 men can solve a problem in 3 days
Hence 3 * 3 = 9 man days required to solve the problem
Problem solved in 1 man day = 1/9
5 women can solve a problem in 3 days
Hence 5 * 3 = 15 woman days required to solve the problem
Problem solved in 1 woman day = 1/15
Problem solved in 2 woman day = 2/15
Let sat 1 man and 2 women solve the same problem in d days
then work done = d ( 1/9 + 2/15)
= d(5 + 6)/45
= 11d/45
Equate work done with 1
11d/45 = 1
=> d = 45/11
=> d ≈ 4.1 days
About 4.1 days are taken by 1 man and 2 women solve the same problem if 3 men or 5 women can solve a problem in 3 days.