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4. Anna takes the train from Glasgow to Helensburgh. The distance of the journey is 23 miles and it took the train 50 minutes. Calculate the average speed of the train in mph.

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4.
Anna takes the train from Glasgow to Helensburgh.
The distance of the journey is 23 miles and it took the train 50 minutes.
Calculate the average speed of the train in mph.

4. Anna takes the train from Glasgow to Helensburgh. The distance of the journey is 23 miles and it took the train 50 minutes. Calculate the average speed of the train in mph.

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NicoleMaster · Tutor for 5 years

Answer

First, let's convert the time from minutes to hours:<br /><br />\( \text{Time in hours} = \frac{50}{60} = 0.833 \) hours<br /><br />Now, we can calculate the speed:<br /><br />\( \text{Speed} = \frac{23}{0.833} = 27.6 \) mph<br /><br />So, the average speed of the train is 27.6 mph.

Explain

## Step 1:<br />To calculate the average speed of the train, we need to use the formula for speed, which is distance divided by time. <br /><br />### The formula for speed is: <br />### \( \textbf{Speed} = \frac{\textbf{Distance}}{\textbf{Time}} \)<br /><br />## Step 2:<br />We know that the distance of the journey is 23 miles, and the time taken is 50 minutes. However, since we want the speed in miles per hour (mph), we need to convert the time from minutes to hours. <br /><br />### The formula to convert minutes to hours is:<br />### \( \textbf{Time in hours} = \frac{\textbf{Time in minutes}}{60} \)<br /><br />## Step 3:<br />Substitute the given values into the formulas and perform the calculations.
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