A logistics command is tracking the movement of four supply convoys traveling along differ… — Armed Services Vocational Aptitude Battery (ASVAB)

A logistics command is tracking the movement of four supply convoys traveling along different routes. Match each convoy's travel data to its correct average unit rate in miles per hour (mph).

Alpha Convoy: Travels $15$ miles in $20$ minutes $45$ mph
Bravo Convoy: Travels $96$ miles in $2$ hours $48$ mph
Charlie Convoy: Travels $130$ miles in $2.5$ hours $52$ mph
Delta Convoy: Travels $35$ miles in $42$ minutes $50$ mph

Answer

Alpha Convoy travels at 45 mph, Bravo Convoy at 48 mph, Charlie Convoy at 52 mph, and Delta Convoy at 50 mph.

Each convoy's speed is found by dividing the total miles traveled by the total hours elapsed, carefully converting any minute values into fractional or decimal hours first.

Step-by-Step Solution

Calculate the unit rate for Alpha Convoy.

45

mph

The time is given in minutes, so it must be converted to hours.

20 \text{ minutes} = \frac{20}{60} \text{ hours} = \frac{1}{3} \text{ hours}

. Then,

15 \div \frac{1}{3} = 45

mph.

Calculate the unit rate for Bravo Convoy.

48

mph

The time is already in hours. Simply divide distance by time:

96 \div 2 = 48

mph.

Calculate the unit rate for Charlie Convoy.

52

mph

The time is in hours as a decimal. Divide distance by time:

130 \div 2.5 = 52

mph.

Calculate the unit rate for Delta Convoy.

50

mph

Convert minutes to hours:

42 \text{ minutes} = \frac{42}{60} \text{ hours} = 0.7 \text{ hours}

. Divide distance by time:

35 \div 0.7 = 50

mph.

Key Concept

Calculating unit rates (speed) by dividing distance by time, requiring unit conversion when time is given in minutes.

Estimated Time:2m 0s

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