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Question 7 Use the rate equation \( r=\frac{d}{t} \) to solve the following problem. At \( 3: 45 \) p.m. Ibram leaves his house and drives 120 miles to his brother's house. He arrives at \( 5: 45 \) p.m. a. How many hours was the drive to his brother's house? The drive was b. What was his average speed? His average speed was

Ask by Cox Peters. in the United States
Feb 27,2025

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a. The drive was 2 hours. b. His average speed was 60 miles per hour.

Solution

To solve the problem, we start with the rate equation: r = d/t. a. Ibram leaves at 3:45 p.m. and arrives at 5:45 p.m., which means the drive lasted 2 hours. b. His average speed is calculated as follows:   Average speed = Total distance / Total time = 120 miles / 2 hours = 60 miles per hour. Thus, a. The drive was 2 hours. b. His average speed was 60 miles per hour.

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The drive was 2 hours long. If Ibram left at 3:45 p.m. and arrived at 5:45 p.m., the time taken for his journey can be calculated by finding the difference between the two times, which gives us 2 hours. His average speed was 60 miles per hour. Using the rate equation \( r = \frac{d}{t} \), we can substitute \( d = 120 \) miles and \( t = 2 \) hours. Thus, \( r = \frac{120}{2} = 60 \) miles per hour. Ibram was cruising along nicely!

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