In a small town, wastewater is pumped from a lift station with a pump having a capacity of 200 gpm. The station receives 180,000 gallons of water during an average day. How many hours of run time will this pump have per day?

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Multiple Choice

In a small town, wastewater is pumped from a lift station with a pump having a capacity of 200 gpm. The station receives 180,000 gallons of water during an average day. How many hours of run time will this pump have per day?

Explanation:
To find how long the pump runs in a day, use consistent time units and divide the total daily volume by the pump’s hourly capacity. The pump moves 200 gallons per minute, which is 200 × 60 = 12,000 gallons per hour. With 180,000 gallons to move in a day, the run time is 180,000 ÷ 12,000 = 15 hours. So the pump needs to run about 15 hours per day. For quick checks: in one hour it would move 12,000 gallons, in 4 hours 48,000, and in 9 hours 108,000—only 15 hours gets to 180,000.

To find how long the pump runs in a day, use consistent time units and divide the total daily volume by the pump’s hourly capacity. The pump moves 200 gallons per minute, which is 200 × 60 = 12,000 gallons per hour. With 180,000 gallons to move in a day, the run time is 180,000 ÷ 12,000 = 15 hours. So the pump needs to run about 15 hours per day. For quick checks: in one hour it would move 12,000 gallons, in 4 hours 48,000, and in 9 hours 108,000—only 15 hours gets to 180,000.

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