Question

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 house 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?

Answer 1

Explanation:

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