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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?

 Jul 5, 2020
 #1
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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

 Jul 5, 2020

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