A rescue helicopter is flying to a distress signal at a constant speed of 120 \text{ miles… — Armed Services Vocational Aptitude Battery (ASVAB)

A rescue helicopter is flying to a distress signal at a constant speed of $120 \text{ miles per hour}$ . Given that $1 \text{ mile} = 5,280 \text{ feet}$ , how many feet does the helicopter travel in $45 \text{ seconds}$ ?

A
5,400
7,920Cevap
C
285,120
D
475,200

Cevap

7,920

The problem requires finding the distance in feet, given a speed in miles per hour and time in seconds. First, convert the speed to feet per second. Since there are

5,280 \text{ feet}

in a mile,

120 \text{ miles per hour}

120 \times 5,280 = 633,600 \text{ feet per hour}

. Since there are

3,600 \text{ seconds}

in an hour, the speed is

633,600 \div 3,600 = 176 \text{ feet per second}

. Finally, multiply this rate by the time of

45 \text{ seconds}

to get the distance:

176 \times 45 = 7,920 \text{ feet}

Adım Adım Çözüm

Convert the helicopter's speed from miles per hour to feet per hour.

120 \times 5,280 = 633,600 \text{ feet per hour}

To align the distance unit (miles) with the requested final unit (feet).

Convert the speed from feet per hour to feet per second.

633,600 \div 3,600 = 176 \text{ feet per second}

There are

60 \times 60 = 3,600

seconds in an hour, and the given elapsed time is in seconds.

Calculate the total distance traveled in

45 \text{ seconds}

176 \times 45 = 7,920 \text{ feet}

Distance equals rate multiplied by time (

D = R \times T

Anahtar Kavram

Unit Conversions in Motion Problems

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