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Jonathan leaves Port Elizabeth at 06:00 and arrive at King William's town \( 8: 22 \) without making any stops. Calculate the average speed at which Jonathan travelled from Port Elizabeth to King William's town. Use the formula: Speed \( =\frac{\text { Distance }}{T \text { me }} \)

Ask by Wang Clark. in South Africa
Feb 25,2025

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Answer

To calculate Jonathan's average speed, we need the distance between Port Elizabeth and King William's Town. Using the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] We know the time taken is approximately 2.3667 hours. Once the distance is provided, we can compute the speed by dividing the distance by this time.

Solution

To calculate the average speed at which Jonathan traveled from Port Elizabeth to King William's Town, we need to follow these steps: 1. **Extract Known Conditions:** - Departure time: 06:00 - Arrival time: 08:22 - We need to find the time taken for the journey and the distance traveled. 2. **Calculate the Time Taken:** - The time taken can be calculated by finding the difference between the arrival time and the departure time. - Departure: 06:00 - Arrival: 08:22 To find the time taken: - From 06:00 to 08:00 is 2 hours. - From 08:00 to 08:22 is 22 minutes. - Therefore, the total time taken is \( 2 \text{ hours} + 22 \text{ minutes} \). We can convert the total time into hours: \[ 2 \text{ hours} + \frac{22 \text{ minutes}}{60} = 2 + \frac{22}{60} = 2 + 0.3667 \approx 2.3667 \text{ hours} \] 3. **Use the Speed Formula:** - The formula for speed is given by: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] - We need the distance from Port Elizabeth to King William's Town to calculate the speed. Let's denote the distance as \( D \). 4. **Final Calculation:** - The average speed can be expressed as: \[ \text{Speed} = \frac{D}{2.3667} \] Since the distance \( D \) is not provided in the problem, please provide the distance from Port Elizabeth to King William's Town to calculate the average speed.

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The Deep Dive

To calculate Jonathan's average speed, we first need to determine the total time taken for his journey. He left Port Elizabeth at 06:00 and arrived at 08:22. This means he traveled for 2 hours and 22 minutes, which converts to 2 + (22/60) = 2.37 hours approximately. To find speed, we then need the distance between Port Elizabeth and King William's Town. If we assume the distance is 120 kilometers, the average speed can be calculated using the formula: Speed = Distance / Time, which gives us Speed = 120 km / 2.37 hours ≈ 50.63 km/h. Now you can plan ahead for your own road trips using this formula! Understanding how speed and time affect your journey can help you avoid delays and make your travel experience smoother. Whether it’s for a short trip or a long haul, knowing how to crunch those numbers can be a game-changer!

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