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0. Last week we drove to Detroit. At an average speed of 50 miles per hour, the trip took \( 4 \frac{1}{2} \) hours. How far was it?

Ask by Chang Lambert. in the United States
Jan 02,2025

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Answer

The trip to Detroit was 225 miles long.

Solution

To determine the distance traveled to Detroit, you can use the formula: \[ \text{Distance} = \text{Speed} \times \text{Time} \] **Given:** - **Speed:** 50 miles per hour - **Time:** \( 4 \frac{1}{2} \) hours (which is 4.5 hours) **Calculation:** \[ \text{Distance} = 50 \, \text{miles/hour} \times 4.5 \, \text{hours} = 225 \, \text{miles} \] **Answer:** The trip to Detroit was **225 miles** long.

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To find the distance traveled, you can use the formula: Distance = Speed × Time. Since the average speed was 50 miles per hour and the time taken was \( 4 \frac{1}{2} \) hours, you first convert \( 4 \frac{1}{2} \) hours to a decimal. That’s \( 4.5 \) hours. So, the calculation is: Distance = 50 miles/hour × 4.5 hours = 225 miles. Therefore, the distance to Detroit was 225 miles!

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