Mitch's pool can hold 10,000 gallons of water. At noon, the pool is 80% full. Unfortunately, the pool has a leak, and it loses 120 gallons of water every hour. Mitch turns on a hose at noon that fills the pool at a rate of 225 gallons per hour. He checks the water level in the pool every hour, starting at 1 PM. At what time does Mitch first see the pool overflowing?
He starts at 8000 gallons when he adds 2000 gals it will overflow
120 gal go out each hour 225 gal goes in each hour net : 105 gal per hour IN
105 x = 2000 gal
x = 19.048 hours until overflow
1 pm + 19 .048 hours = 8.048 AM = ~~8 :03 AM Since he checks every hour, he will first see the overflow at 9:00 AM