SOLUTION: If Timmy can fill a pool in 15 hours and Jane can fill the same pool in 25 hours, how long will it take them to fill the pool, if they work together?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: If Timmy can fill a pool in 15 hours and Jane can fill the same pool in 25 hours, how long will it take them to fill the pool, if they work together?       Log On


   

Question 625696: If Timmy can fill a pool in 15 hours and Jane can fill the same pool in 25 hours, how long will it take them to fill the pool, if they work together?
Answer by reynard2007(52) About Me  (Show Source):
You can put this solution on YOUR website!

Rate x Time = Amount of Work



 
If Timmy can fill A pool in 15 hours, his rate of work is 1%2F15. Jane's is 1%2F25. Let us use x to represent the amount of time they both have to work together. Since they only have to fill 1 pool, the amount of work is equal to 1. The equation then is this:
%281%2F15%29x%2B%281%2F25%29x=1
Multiply both sides by 75 to get rid of the fractions: 75%28%281%2F15%29x%2B%281%2F25%29x%29=75%281%29
5x%2B3x=75
8x=75
x=75%2F8
If they work together, they can fill the pool in 9 3/8 hours or approximately 9 hours and 23 minutes.