SOLUTION: a pipe can fill a tank in 15 hours. The tank develop a hole and 10% of water leaks out . The pipe will now fill the tank in

Algebra ->  Rate-of-work-word-problems -> SOLUTION: a pipe can fill a tank in 15 hours. The tank develop a hole and 10% of water leaks out . The pipe will now fill the tank in      Log On


   

Question 799368: a pipe can fill a tank in 15 hours. The tank develop a hole and 10% of water leaks out . The pipe will now fill the tank in
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
a pipe can fill a tank in 15 hours. The tank develop a hole and 10% of water leaks out .
The pipe will now fill the tank in:
:
Let t = time for pipe to fill tank with leak
Let the full tank = 1
:
If the leak empties at 10% of the fill rate,
it would take 150 hrs to empty a full tank
:
t%2F15 - t%2F150 = 1
multiply by 150 to clear the denominators
10t - 1t = 150
9t = 150
t = 150%2F9
t = 162%2F3 hrs to fill it with the leak