SOLUTION: Please show me how to solve this problem. I am sure that there is an equation to use but I do not know where to start. A backyard pool is being drained. The pool contains 9925

Question 396484: Please show me how to solve this problem. I am sure that there is an equation to use but I do not know where to start.
A backyard pool is being drained. The pool contains 9925 gallons of water. At 9am, Drain 1 is opened which drains at 175 gallons every 15 minutes. At 10am, Drain2 is opened (Drain 1 continues draining, too) and it drains 450 gallons every 30 minutes. At what time will the pool contain 0 gallons of water?
THANK YOU!
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
A backyard pool is being drained. The pool contains 9925 gallons of water. At 9am, Drain 1 is opened which drains at 175 gallons every 15 minutes. At 10am, Drain2 is opened (Drain 1 continues draining, too) and it drains 450 gallons every 30 minutes. At what time will the pool contain 0 gallons of water?
THANK YOU!
...
let the total time to drain be x
..
Drain 1 = 700 gallons /h
Drain 2 = 900 gallons/h
...
Drain 1 is open for x hours
so it drained 700x gallons
..
Drain 2 is open for (x-1) hours
so it drains 900(x-1) gallons
...
700x+900(x-1)=9925
700x+900x-900=9925
1600x=9925+900
1600x= 10825
/2500
x= 6.765 hours
x= 6hours 46 minutes
Time it will empty = 3.46 pm
...

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