A passenger train is traveling at a constant speed of 132 \text{ feet per second}. Given t… — Armed Services Vocational Aptitude Battery (ASVAB)

A passenger train is traveling at a constant speed of $132 \text{ feet per second}$ . Given that $1 \text{ mile} = 5,280 \text{ feet}$ , how many miles will the train travel in $15 \text{ minutes}$ ?

A
0.375
22.5Answer
C
37.5
D
1,980

Answer

22.5

To find the distance, the units for time and distance must be aligned. Because the train's speed is

132 \text{ feet per second}

, first convert the

15 \text{ minutes}

of travel time into seconds:

15 \times 60 = 900 \text{ seconds}

. Next, calculate the total distance in feet by multiplying the speed by the time:

132 \times 900 = 118,800 \text{ feet}

. Finally, divide this total by

5,280

to convert feet into miles, yielding

22.5 \text{ miles}

Step-by-Step Solution

Convert the travel time from minutes to seconds.

15 \text{ minutes} \times 60 \text{ seconds/minute} = 900 \text{ seconds}

The speed is given in feet per second, so the time must be in seconds to calculate the distance.

Calculate the total distance traveled in feet.

132 \text{ feet/second} \times 900 \text{ seconds} = 118,800 \text{ feet}

Distance is the product of rate and time.

Convert the total distance from feet to miles.

118,800 \text{ feet} \div 5,280 \text{ feet/mile} = 22.5 \text{ miles}

The question asks for the final distance in miles.

Key Concept

Converting between different units of time and distance to calculate total distance traveled.

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