SOLUTION: A WATEER TANK CAN BE FILLED IN 18 HOURS BY AN INLET PIPE AND EMPTIED IN 36 HOURS BY AN OUTLET PIPE. HOW LONG WILL IT TAKE IF BOTH PIPES ARE LEFT OPEN ?

Question 115099: A WATEER TANK CAN BE FILLED IN 18 HOURS BY AN INLET PIPE AND EMPTIED IN 36 HOURS BY AN OUTLET PIPE. HOW LONG WILL IT TAKE IF BOTH PIPES ARE LEFT OPEN ?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A WATER TANK CAN BE FILLED IN 18 HOURS BY AN INLET PIPE AND EMPTIED IN 36 HOURS BY AN OUTLET PIPE. HOW LONG WILL IT TAKE IF BOTH PIPES ARE LEFT OPEN ?
:
let x = time to fill it if both pipes are left open:
:
Let the full tank = 1
:
Use positive for filling and negative for emptying
:
- = 1
:
Get rid of the denominator by multiplying by 36 and you have:
2x - x = 36
x = 36 hrs to fill it
:
Check:
- =
2 - 1 = 1
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