A garden hose discharges water at a constant rate of 8 quarts per minute. What is this rat… — SAT

A garden hose discharges water at a constant rate of $8$ quarts per minute. What is this rate, in gallons per hour? (Given that $1\text{ gallon} = 4\text{ quarts}$ )

Answer: 120 gallons per hour

Answer

120

To convert the discharge rate from quarts per minute to gallons per hour, we first convert quarts to gallons. Since

1\text{ gallon} = 4\text{ quarts}

, we divide the rate of

8

quarts per minute by

4

to get

2

gallons per minute. Next, to convert minutes to hours, we multiply this rate by

60

(since there are

60

minutes in

1\text{ hour}

). This gives

2 \times 60 = 120

gallons per hour.

Step-by-Step Solution

Convert quarts per minute to gallons per minute

2

gallons per minute

Since

1\text{ gallon} = 4\text{ quarts}

, divide the flow rate of

8

quarts per minute by the conversion factor of

4

to find the rate in gallons per minute:

\frac{8\text{ quarts/min}}{4\text{ quarts/gallon}} = 2\text{ gallons/min}

Convert gallons per minute to gallons per hour

120

gallons per hour

Since there are

60

minutes in an hour, multiply the rate of

2

gallons per minute by

60

to find the total gallons discharged in one hour:

2\text{ gallons/min} \times 60\text{ min/hour} = 120\text{ gallons/hour}

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