A coast guard rescue helicopter flies directly toward a distressed vessel at a constant sp… — Armed Services Vocational Aptitude Battery (ASVAB)

A coast guard rescue helicopter flies directly toward a distressed vessel at a constant speed of $120\text{ miles per hour}$ . If the flight takes exactly $45\text{ minutes}$ , what is the total distance traveled by the helicopter?

$90\text{ miles}$ Cevap
B
$5,400\text{ miles}$
C
$54\text{ miles}$
D
$900\text{ miles}$

Cevap

The total distance traveled by the helicopter is

90\text{ miles}

The correct answer accurately converts the

45\text{ minutes}

of flight time into

0.75\text{ hours}

, and then applies the distance formula (

D = R \times T

) to find

120 \times 0.75 = 90\text{ miles}

Adım Adım Çözüm

Convert the flight time from minutes to hours.

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

The speed is given in miles per hour, so the time must also be in hours to calculate the distance correctly.

Calculate the distance using the formula

\text{Distance} = \text{Rate} \times \text{Time}

120\text{ miles per hour} \times 0.75\text{ hours} = 90\text{ miles}

Multiplying the constant speed by the total time in hours gives the total distance traveled.

Anahtar Kavram

To find distance, multiply the rate of speed by the time traveled, ensuring that the units of time match the units in the speed rate.

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