If a fire engine travels at 45 mph for 18 minutes, what is the distance traveled?

To determine the distance traveled by a fire engine moving at a constant speed, you can use the formula for distance:

Distance = Speed × Time.

In this case, the speed of the fire engine is 45 miles per hour, and the time of travel is 18 minutes. Before using the formula, it's important to convert the time from minutes to hours, since the speed is given in miles per hour.

To convert 18 minutes into hours, you divide by 60 (the number of minutes in an hour):

18 minutes ÷ 60 = 0.3 hours.

Now that you have both the speed and the time in compatible units, you can substitute these values into the distance formula:

Distance = 45 miles per hour × 0.3 hours = 13.5 miles.

This calculation confirms that the distance traveled by the fire engine in 18 minutes at a speed of 45 mph is accurately given as 13.5 miles. Therefore, this option is the correct answer.