SOLUTION: A large water tank has two inlet pipes (large one and small one) and one outlet pipe. It take 2 hours to fill the tank with the large inlet pipe. It take 6 hours to fill the tank w

Algebra ->  Rate-of-work-word-problems -> SOLUTION: A large water tank has two inlet pipes (large one and small one) and one outlet pipe. It take 2 hours to fill the tank with the large inlet pipe. It take 6 hours to fill the tank w      Log On


   

Question 414369: A large water tank has two inlet pipes (large one and small one) and one outlet pipe. It take 2 hours to fill the tank with the large inlet pipe. It take 6 hours to fill the tank with the small inlet pipe. The outlet pipe allows the full tank to be emptied in 8 hours.
What fraction of the tank (initially empty) will be filled in 2.85 hours if all three pipes are in operation? Give your answer 2 decimal places.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A large water tank has two inlet pipes (large one and small one) and one outlet pipe.
It take 2 hours to fill the tank with the large inlet pipe.
It take 6 hours to fill the tank with the small inlet pipe.
The outlet pipe allows the full tank to be emptied in 8 hours.
What fraction of the tank (initially empty) will be filled in 2.85 hours if all three pipes are in operation?
Give your answer 2 decimal places.
:
Let the full tank = 1
:
2.85%2F2 + 2.85%2F6 - 2.85%2F8 =
1.425 + .475 - .35625 = 1.54375, the tank will have overflowed: