A logistics drone is deployed to deliver medical supplies to a remote outpost 105 miles aw… — Armed Services Vocational Aptitude Battery (ASVAB)

A logistics drone is deployed to deliver medical supplies to a remote outpost $105$ miles away. The drone travels at a constant speed of $42$ miles per hour. If the drone departs the base at $0745$ hours, at what time will it arrive at the outpost?

$1015$ hoursAnswer
B
$1035$ hours
C
$0809$ hours
D
$0800$ hours

Answer

The correct arrival time is

1015

hours.

The drone travels

105

miles at

42

miles per hour, which takes

2.5

hours (or

2

hours and

30

minutes). Adding

2

hours and

30

minutes to the departure time of

0745

hours results in a final arrival time of

1015

hours.

Step-by-Step Solution

Calculate the total travel time in hours.

Time = 105 \text{ miles} / 42 \text{ mph} = 2.5 \text{ hours}

The formula for finding time is

Time = Distance / Rate

Convert the decimal portion of the time into minutes.

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

. The total travel time is

2

hours and

30

minutes.

Clock time requires hours and minutes, not decimal fractions of an hour.

Add the travel time to the departure time to find the arrival time.

0745 \text{ hours} + 2 \text{ hours and } 30 \text{ minutes} = 1015 \text{ hours}

Adding

2

hours to

0745

gives

0945

. Adding

30

minutes to

0945

advances the clock past the hour (

60

minutes) to

1015

Key Concept

Calculating elapsed time using the distance formula (

t = d/r

) and converting decimal hours to standard clock time.

Question

Answer

Step-by-Step Solution

Key Concept

Common Mistakes

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