SOLUTION: The intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 hours. How long would it take the outlet pipe to empty
Algebra.Com
Question 72136This question is from textbook Algebra and Trigonometry: Structure and Method
: The intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 hours. How long would it take the outlet pipe to empty a full tank?
This question is from textbook Algebra and Trigonometry: Structure and Method
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The intake pipe can fill a certain tank in 6 hours when the outlet pipe is closed, but with the outlet pipe open it takes 9 hours. How long would it take the outlet pipe to empty a full tank?
:
Let x = time for outlet to empty the tank:
:
Let the filled tank = 1
:
The intake is filling for 9 hrs (+)
The outlet is draining for 9 hrs (-)
= 1
:
Multiply the equation by 6x to get rid of the denominators
9x - 6(9) = 6x
9x - 54 = 6x
9x - 6x = 54
3x = 54
x = 54/3
x = 18 hrs for the outlet to empty a full tank by itself
:
Check: 9/6 - 9/18 =
3/2 - 1/2 = 1
:
Another words:
the input will fill a tank and a half in 9 hrs
the outlet will remove a half a tank in 9 hrs
Leaving a full tank
:
RELATED QUESTIONS
The intake pipe can fill a tank in 4 hours when the outlet pipe is closed, but with the... (answered by scott8148)
The intake pipe can fill a certain tank in 6 h when the outlet pipe is closed, but with... (answered by ankor@dixie-net.com)
A 400-gallon water storage tank is filled by a single inlet pipe, and two identical... (answered by stanbon)
A tank can be filled by one inlet pipe in 15 minutes. It takes an outlet pipe 75 minutes (answered by ankor@dixie-net.com)
A cistern can be filled by an inlet pipe in 6 hours & emptied by an outlet pipe in 10... (answered by richwmiller)
A cistern can be filled by an inlet pipe in 6 hours & emptied by an outlet pipe in 10... (answered by richwmiller)
A tank can be filled by one inlet pipe in 15 minutes. It takes an outlet pipe 75 minutes... (answered by Alan3354)
A large water tank has two inlet pipes of different sizes, and one outlet pipe. With the... (answered by josmiceli)
Hi
The problem:
A large water tank has two inlet pipes of different sizes and one... (answered by nerdybill)