A cyclist is riding on a paved trail at a constant speed of 15 \text{ miles per hour}. At … — Armed Services Vocational Aptitude Battery (ASVAB)

A cyclist is riding on a paved trail at a constant speed of $15 \text{ miles per hour}$ . At this rate, how many miles will the cyclist travel in $40 \text{ minutes}$ ?

Answer: 10 miles

Answer

The distance is found by matching the time units to the speed units. First, convert

40 \text{ minutes}

into

\frac{2}{3} \text{ hours}

. Then, multiply the speed (

15 \text{ mph}

) by the time (

\frac{2}{3} \text{ hours}

) to get exactly 10 miles.

Step-by-Step Solution

Convert the travel time from minutes to hours.

40 \text{ minutes} = \frac{40}{60} \text{ hours} = \frac{2}{3} \text{ hours}

The speed is given in miles per hour, so the time must be converted to hours before using it in the distance formula.

Calculate the total distance traveled.

15 \times \frac{2}{3} = 10 \text{ miles}

Distance is equal to the rate (speed) multiplied by the time (

d = r \times t

Key Concept

Unit conversions for time in rate problems

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