A Coast Guard cutter is navigating to a waypoint that is 135 miles away. If the vessel tra… — Armed Services Vocational Aptitude Battery (ASVAB)

A Coast Guard cutter is navigating to a waypoint that is $135$ miles away. If the vessel travels at a steady rate of $30$ miles per hour, how much time will it take to reach the waypoint?

A
$4$ hours and $5$ minutes
B
$7$ hours and $30$ minutes
$4$ hours and $30$ minutesAnswer
D
$4$ hours and $50$ minutes

Answer

The correct answer is

4

hours and

30

minutes.

To find the travel time, divide the total distance by the speed:

135 \div 30 = 4.5

hours. Since

0.5

of an hour is exactly half of

60

minutes, it equals

30

minutes. Thus, the total travel time is

4

hours and

30

minutes.

Step-by-Step Solution

Set up the formula for finding time given distance and rate.

Time = \frac{135}{30}

The standard relationship between distance, rate, and time is

Time = \frac{Distance}{Rate}

Divide the total distance by the rate to find the time in hours.

135 \div 30 = 4.5

hours

Performing the division gives the total travel time in decimal hours.

Convert the decimal portion of the hour into minutes.

0.5 \text{ hours} \times 60 \text{ minutes/hour} = 30 \text{ minutes}

Since the options are presented in hours and minutes, the fractional hour must be converted using the factor of

60

minutes per hour.

Key Concept

Calculating Time given Rate and Distance

Estimated Time:45s

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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