A transport aircraft flies at a constant cruising speed of 360\text{ miles per hour}. If i… — Armed Services Vocational Aptitude Battery (ASVAB)

A transport aircraft flies at a constant cruising speed of $360\text{ miles per hour}$ . If it maintains this speed, what is the total distance it travels in $40\text{ minutes}$ , in miles?

Answer: 240 miles

Answer

240

To find the distance, the time must first be converted to match the 'hours' unit in the speed rate. Forty minutes is equal to two-thirds of an hour. Multiplying the rate of

360\text{ miles per hour}

\frac{2}{3}\text{ of an hour}

yields a total distance of

240\text{ miles}

Step-by-Step Solution

Convert the travel time from minutes to hours.

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

The speed is given in miles per hour, so the time must be converted to hours to ensure the units cancel out correctly during multiplication.

Calculate the distance using the formula

Distance = Rate \times Time

240\text{ miles}

Multiplying the constant rate of

360\text{ mph}

by the travel time of

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

yields the total distance traveled.

Key Concept

Calculating distance using a constant rate and performing a basic time unit conversion.

Alternative Method

You can also find the distance traveled per minute by dividing

360\text{ miles}

60\text{ minutes}

, which equals

6\text{ miles per minute}

. Then, multiply

6\text{ miles per minute}

40\text{ minutes}

to get

240\text{ miles}

Estimated Time:45s

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Answer

Step-by-Step Solution

Key Concept

Common Mistakes

Alternative Method

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