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Questions and Answers
What is the volume of the pond that can be filled in 3 hours if the flow rate of the garden hose is 1 gallon per minute?
What is the volume of the pond that can be filled in 3 hours if the flow rate of the garden hose is 1 gallon per minute?
- 180 gallons
- 240 gallons
- 360 gallons
- 540 gallons (correct)
How long will it take to empty a 10 cubic yard concrete truck discharging at a rate of 100 cubic feet per minute?
How long will it take to empty a 10 cubic yard concrete truck discharging at a rate of 100 cubic feet per minute?
- 9 minutes
- 12 minutes
- 3 minutes (correct)
- 6 minutes
What is the flow rate of a water fountain that fills a 5-gallon tank in 10 minutes?
What is the flow rate of a water fountain that fills a 5-gallon tank in 10 minutes?
- 3 gallons per minute
- 5 gallons per minute
- 1 gallon per minute
- 0.5 gallons per minute (correct)
If a faucet has a flow rate of 1.5 gallons per minute, how much water is collected after filling for 20 minutes?
If a faucet has a flow rate of 1.5 gallons per minute, how much water is collected after filling for 20 minutes?
How much water is released by a fire hydrant at a rate of 120 gallons per minute when opened for 15 minutes?
How much water is released by a fire hydrant at a rate of 120 gallons per minute when opened for 15 minutes?
If a pump drains a tank at 50 cubic feet per minute and the tank has a total volume of 2,000 cubic feet, how long will it take to drain the tank?
If a pump drains a tank at 50 cubic feet per minute and the tank has a total volume of 2,000 cubic feet, how long will it take to drain the tank?
What is the total volume of a swimming pool filled at a rate of 0.6 gallons per second if it takes 4 hours to fill?
What is the total volume of a swimming pool filled at a rate of 0.6 gallons per second if it takes 4 hours to fill?
What is the flow rate of a hose that fills a 55-gallon drum in 22 minutes?
What is the flow rate of a hose that fills a 55-gallon drum in 22 minutes?
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Study Notes
Garden Hose and Pond Volume
- A garden hose has a flow rate of 1 gallon per minute.
- It takes 3 hours to fill a pond.
- To calculate the pond's volume, first, convert hours to minutes: 3 hours * 60 minutes/hour = 180 minutes.
- The pond's volume is the flow rate multiplied by the time: 1 gallon/minute * 180 minutes = 180 gallons.
Concrete Truck Discharge Time
- A concrete truck has a volume of 10 cubic yards.
- The truck discharges concrete at 100 cubic feet per minute.
- Convert cubic yards to cubic feet: 10 cubic yards * 27 cubic feet/cubic yard = 270 cubic feet.
- The time to empty the truck is the total volume divided by the discharge rate: 270 cubic feet / 100 cubic feet/minute = 2.7 minutes.
Water Fountain Flow Rate
- A water fountain fills a 5-gallon tank in 10 minutes.
- The flow rate is the tank volume divided by the filling time: 5 gallons / 10 minutes = 0.5 gallons per minute.
Faucet Water Collection
- A faucet has a flow rate of 1.5 gallons per minute.
- The total volume collected after 20 minutes is the flow rate multiplied by time: 1.5 gallons/minute * 20 minutes = 30 gallons.
Fire Hydrant Water Release
- A fire hydrant releases water at 120 gallons per minute.
- The total water released in 15 minutes is the flow rate multiplied by time: 120 gallons/minute * 15 minutes = 1800 gallons.
Pump Draining a Tank
- A pump drains a tank at 50 cubic feet per minute.
- The tank has a volume of 2,000 cubic feet.
- The time to drain the tank is the total volume divided by the drainage rate: 2,000 cubic feet / 50 cubic feet/minute = 40 minutes.
Swimming Pool Filling Time
- A swimming pool is filled at a rate of 0.6 gallons per second.
- It takes 4 hours to fill the pool.
- Convert hours to seconds: 4 hours * 60 minutes/hour * 60 seconds/minute = 14,400 seconds.
- The pool's total volume is the flow rate multiplied by the filling time: 0.6 gallons/second * 14,400 seconds = 8,640 gallons.
Water Tank Filling Rate
- A water tank has a capacity of 500 gallons.
- It takes 40 minutes to fill the tank using a pump.
- The pump's flow rate is the tank volume divided by the filling time: 500 gallons / 40 minutes = 12.5 gallons per minute.
Hose Flow Rate
- A hose fills a 55-gallon drum in 22 minutes.
- The hose's flow rate is the drum volume divided by the filling time: 55 gallons / 22 minutes = 2.5 gallons per minute.
River Water Flow
- A river flows at 300 cubic feet per second.
- To calculate the water flow in 1 hour, convert hours to seconds: 1 hour * 60 minutes/hour * 60 seconds/minute = 3,600 seconds.
- The total water flow in 1 hour is the flow rate multiplied by time: 300 cubic feet/second * 3,600 seconds = 1,080,000 cubic feet.
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