During a training exercise, a reconnaissance team travels a distance of 18 miles in exactl… — Armed Services Vocational Aptitude Battery (ASVAB)

During a training exercise, a reconnaissance team travels a distance of $18$ miles in exactly $45$ minutes using all-terrain vehicles. What is their average speed in miles per hour?

Answer: 24 mph

Answer

To find the average speed in miles per hour, the travel time must first be converted into hours. Since there are

60

minutes in an hour,

45

minutes is equal to

0.75

hours (or

\frac{3}{4}

of an hour). Dividing the distance of

18

miles by the time of

0.75

hours yields a rate of

24

miles per hour.

Step-by-Step Solution

Convert the travel time from minutes to hours.

45 \text{ minutes} = \frac{45}{60} \text{ hours} = 0.75 \text{ hours}

(or

\frac{3}{4}

hour).

The speed is requested in miles per hour, so the time must be converted to hours to match the units of the rate.

Calculate the average speed using the rate formula

r = \frac{d}{t}

r = \frac{18 \text{ miles}}{0.75 \text{ hours}} = 24 \text{ mph}

Rate equals total distance divided by total time.

Key Concept

Calculating rate with necessary time unit conversions

Estimated Time:1m 0s

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