Question
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A car travelling at a constant speed travels 54 km in 18 minutes. How far, travelling at the same constant speed, will the car travel in 1 hour 12 minutes?

Ask by Gonzalez Welch. in South Africa
Feb 18,2025

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Tutor-Verified Answer

Answer

The car will travel 216 km in 1 hour 12 minutes.

Solution

To find out how far the car will travel in 1 hour 12 minutes, we first need to determine the speed of the car. Given: - Distance traveled in 18 minutes = 54 km - Speed of the car = Distance / Time First, let's calculate the speed of the car: Speed = 54 km / 18 minutes Next, we will use the speed to find out how far the car will travel in 1 hour 12 minutes. Calculate the value by following steps: - step0: Calculate: \(\frac{54}{18}\) - step1: Reduce the numbers: \(\frac{3}{1}\) - step2: Calculate: \(3\) The speed of the car is 3 km per minute. Now, let's calculate how far the car will travel in 1 hour 12 minutes: Time = 1 hour 12 minutes = 72 minutes Distance = Speed * Time Distance = 3 km/minute * 72 minutes Let's calculate the distance. Calculate the value by following steps: - step0: Calculate: \(3\times 72\) - step1: Multiply the numbers: \(216\) The car will travel 216 km in 1 hour 12 minutes.

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The Deep Dive

To solve this, first, determine the car's speed. If it travels 54 km in 18 minutes, that means it covers 54 km in \( \frac{18}{60} \) hours, which is 0.3 hours. The speed is then \( \frac{54 \text{ km}}{0.3 \text{ hours}} = 180 \text{ km/h} \). Next, convert 1 hour 12 minutes into hours, which is \( 1 + \frac{12}{60} = 1.2 \) hours. To find the distance travelled in 1.2 hours at 180 km/h, multiply the speed by time: \( 180 \text{ km/h} \times 1.2 \text{ hours} = 216 \text{ km} \). So, the car will travel **216 km** in 1 hour and 12 minutes. Need a fun fact? The fastest land speed record for a car is a whopping **1,227.99 km/h**! That’s five times faster than your average speed of 180 km/h. Imagine how quickly you'd get to your destination! And here’s a tip: Always remember that conversions are key. Turning minutes into hours or miles into kilometers can make or break your calculations. Keep a conversion chart handy for all your road-tripping math!

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