SOLUTION: The smaller of two pipes takes 5 hours longer to fill a tank. If both pipes are used, the job can be done in 3 1/3 hours. How long will it take each pipe to fill the tank alone?

Algebra ->  Rate-of-work-word-problems -> SOLUTION: The smaller of two pipes takes 5 hours longer to fill a tank. If both pipes are used, the job can be done in 3 1/3 hours. How long will it take each pipe to fill the tank alone?      Log On


   

Question 38790: The smaller of two pipes takes 5 hours longer to fill a tank. If both pipes are used, the job can be done in 3 1/3 hours. How long will it take each pipe to fill the tank alone?
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
The smaller pipe takes x+5
And the other pipe takes x hours to fill the tank.
EQUATION:
1%2Fx%2B1%2F%28x%2B5%29=%281%29%2F%2810%2F3%29
%28%28x%29%2B%28x%2B5%29%29=%283%28%28x%29%28x%2B5%29%29%29%2F10
2x%2B5=%283x%5E2%2B15x%29%2F10
20x%2B50=3x%5E2%2B15x
3x%5E2-5x-50=0
Factor you get :
x=5
5+5=10
Hence, one pipe takes 5 hours and other takes 10 hours to fill the tank.
Paul.