SOLUTION: A tank can be filled by one pipe in 30 minutes & emptied by another in 50 minutes. If both pipes are open, how long will it take to fill the tank?

Question 97182: A tank can be filled by one pipe in 30 minutes & emptied by another in 50 minutes. If both pipes are open, how long will it take to fill the tank?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A tank can be filled by one pipe in 30 minutes & emptied by another in 50 minutes. If both pipes are open, how long will it take to fill the tank?
:
Let x = time (in minutes) required, when both pipes are open, and they fill the tank
:
Let the full tank = 1
:
- = 1
:
Multiply equation by 150 to get rid of the denominators, resulting in:
5x - 3x = 150
2x = 150
x = 150/2
x = 75 minutes required to fill the tank
:
:
Check solution
- =
:
- = 2/2 = 1
:

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