A cargo plane travels at a constant speed of 300\text{ miles per hour}. At this rate, how … — Armed Services Vocational Aptitude Battery (ASVAB)

A cargo plane travels at a constant speed of $300\text{ miles per hour}$ . At this rate, how many miles does the plane travel in $20\text{ minutes}$ ?

A
$15$
B
$60$
$100$ Answer
D
$6,000$

Answer

100

The correct answer correctly converts the travel time to hours by recognizing that

20\text{ minutes}

is exactly one-third (

\frac{1}{3}

) of an hour. Multiplying the rate of

300\text{ miles per hour}

\frac{1}{3}\text{ of an hour}

gives a total distance of

100\text{ miles}

Step-by-Step Solution

Convert the given time from minutes to hours.

20\text{ minutes} = \frac{20}{60}\text{ hours} = \frac{1}{3}\text{ hour}

The speed is given in miles per hour, so the time must be in hours before multiplying.

Calculate the distance using the formula Distance = Rate × Time.

300 \times \frac{1}{3} = 100\text{ miles}

Multiplying the constant rate by the elapsed time yields the total distance traveled.

Key Concept

Converting time units to match the rate units before calculating distance.

Estimated Time:45s

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