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Math  /  Numbers & Operations

QuestionHong runs 7 miles in 38 minutes. How many minutes does he take per mile?

Studdy Solution

STEP 1

1. Hong runs a total distance of 7 7 miles.
2. The total time taken by Hong is 38 38 minutes.
3. We need to find the average time taken per mile.

STEP 2

1. Define the variables.
2. Set up the equation for average time per mile.
3. Solve the equation.

STEP 3

Let t t be the time in minutes that Hong takes to run one mile.

STEP 4

Set up the equation for average time per mile. Since Hong runs 7 7 miles in 38 38 minutes, the average time per mile is given by:
t=Total time in minutesTotal milest = \frac{\text{Total time in minutes}}{\text{Total miles}}

STEP 5

Substitute the known values into the equation:
t=387t = \frac{38}{7}

STEP 6

Calculate the average time per mile:
t=387≈5.4286t = \frac{38}{7} \approx 5.4286
Round to two decimal places:
t≈5.43 minutes per milet \approx 5.43 \text{ minutes per mile}
The average time Hong takes per mile is approximately:
5.43 minutes\boxed{5.43 \text{ minutes}}

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