SOLUTION: water is flowing into a basement at a rate of 50 liters per hour. the water can be bailed out at a rate of 60 liters per hour. if the water flows for two hours before anyone begins

Question 1043744: water is flowing into a basement at a rate of 50 liters per hour. the water can be bailed out at a rate of 60 liters per hour. if the water flows for two hours before anyone begins removing it, how long will it take to bail out all the water in the basement?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x=number of hours since time 0
When x=2, 100 liters have flowed in.
The easiest way to do this is to note that water can be bailed 10 liters per hour more than it flows in. There are 100 liters in the basement, 100/10=10 hours it will take to bail it all out. During that time 100 liters flowed in for the first two hours and 500 more for the next 10 hours, or 600 liters total.
For the 10 hours of bailing, at 60 liters/hour, that is 600 liters.
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