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Kyle purchased a sports car and Suri purchased a motorcycle. Kyle travelled 181 km non-stop in 72 minutes. Suri travelled for 23 km non-stop in 19 minutes. a. What is Kyle's average speed? Round to two decimal places b. What is Suri's average speed? Round to two decimal places c. How much faster is the faster driver's speed compared to the slower driver's speed? Round to two decimal places Ekm/hr

Ask by Stephens Lawson. in Canada
Mar 10,2025

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Answer

a. Kyle's average speed is 150.83 km/hr. b. Suri's average speed is 72.63 km/hr. c. The faster driver is 78.20 km/hr faster than the slower driver.

Solution

**Step 1. Compute Kyle's average speed** Kyle traveled \(181\) km in \(72\) minutes. First, convert minutes to hours: \[ 72 \text{ minutes} = \frac{72}{60} = 1.2 \text{ hours} \] The average speed is given by: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{181}{1.2} \text{ km/hr} \] Evaluating the expression: \[ \frac{181}{1.2} \approx 150.83 \text{ km/hr} \] **Step 2. Compute Suri's average speed** Suri traveled \(23\) km in \(19\) minutes. First, convert minutes to hours: \[ 19 \text{ minutes} = \frac{19}{60} \text{ hours} \] The average speed is: \[ \text{Speed} = \frac{23}{\frac{19}{60}} = 23 \times \frac{60}{19} \text{ km/hr} \] Evaluating the expression: \[ 23 \times \frac{60}{19} = \frac{1380}{19} \approx 72.63 \text{ km/hr} \] **Step 3. Determine how much faster the faster driver is** Kyle's speed (\(150.83\) km/hr) is greater than Suri's speed (\(72.63\) km/hr). The difference is: \[ 150.83 - 72.63 \approx 78.20 \text{ km/hr} \] **Answers:** a. Kyle's average speed is approximately \(150.83\) km/hr. b. Suri's average speed is approximately \(72.63\) km/hr. c. The faster driver is about \(78.20\) km/hr faster than the slower driver.

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To calculate average speeds, we use the formula: speed = distance/time. a. Kyle's average speed can be calculated by converting 72 minutes into hours. 72 minutes = 72/60 = 1.2 hours. So, Kyle's speed is 181 km / 1.2 hours = 150.83 km/hr, rounded to two decimal places. b. Suri's average speed is calculated similarly. First, convert 19 minutes into hours: 19 minutes = 19/60 ≈ 0.32 hours. Therefore, Suri's speed is 23 km / 0.32 hours ≈ 71.88 km/hr, rounded to two decimal places. c. To find the speed difference, subtract Suri's average speed from Kyle's: 150.83 km/hr - 71.88 km/hr = 78.95 km/hr, rounded to two decimal places. So, the answers are: a. 150.83 km/hr b. 71.88 km/hr c. 78.95 km/hr

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