Determine the unknown rate or time for each of the following military travel profiles by m… — Armed Services Vocational Aptitude Battery (ASVAB)

Determine the unknown rate or time for each of the following military travel profiles by matching them to their correctly calculated values.

A supply truck travels a distance of $130$ miles in exactly $2$ hours and $30$ minutes. $52$ mph
A surveillance aircraft flies a patrol route of $1,200$ miles at a constant speed of $300$ mph. $4$ hours
An infantry squad completes an $8$ -mile ruck march in $2$ hours and $40$ minutes. $3$ mph
A naval destroyer cruises at a constant speed of $30$ knots to cover a distance of $135$ nautical miles. $4.5$ hours

The supply truck travels at

52

mph, the aircraft takes

4

hours, the infantry squad marches at

3

mph, and the destroyer takes

4.5

hours.

Each match is correct because the standard distance relationships (

r = d/t

t = d/r

) are applied after standardizing all units. Knots are correctly identified as speed, and minutes are accurately converted into fractions of an hour.

Identify the given variables and the missing variable for each travel profile.

Two scenarios give distance and time (requiring rate), while two give distance and rate (requiring time).

This determines whether to use the formula

r = d/t

t = d/r

Convert mixed time units into a single fractional or decimal unit of hours.

2

hours

30

minutes becomes

2.5

hours.

2

hours

40

minutes becomes

2 \frac{2}{3}

8/3

hours.

Rates expressed in mph require time to be represented entirely in hours before dividing.

Calculate the missing values using the appropriate distance formula.

Truck:

130 \div 2.5 = 52

. Aircraft:

1,200 \div 300 = 4

. Squad:

8 \div (8/3) = 3

. Destroyer:

135 \div 30 = 4.5

Applying the correct operational relationship yields the final matched answers.

Calculating Rate and Time with Unit Conversions

Question