A military transport truck travels 180 miles on 20 gallons of diesel fuel. A newer model t… — Armed Services Vocational Aptitude Battery (ASVAB)

A military transport truck travels $180$ miles on $20$ gallons of diesel fuel. A newer model travels $220$ miles on $22$ gallons of diesel fuel. The logistics team needs to select a truck for a supply route that is $360$ miles one-way. If the selected truck must complete a full round trip along this route, how many fewer gallons of diesel will the newer model use compared to the older model for the entire journey?

8Answer
B
4
C
80
D
720

Answer

The correct answer is found by first calculating the unit rate for each truck: the older truck gets

9

mpg (

180 \div 20

) and the newer truck gets

10

mpg (

220 \div 22

). The total distance for a round trip is

720

miles (

360 \times 2

). For this journey, the older truck requires

80

gallons (

720 \div 9

) and the newer truck requires

72

gallons (

720 \div 10

). The difference is

8

gallons.

Step-by-Step Solution

Calculate the fuel efficiency (unit rate) for the older truck.

180 \div 20 = 9

miles per gallon (mpg).

Finding the unit rate allows us to calculate fuel consumption for any given distance.

Calculate the fuel efficiency for the newer model.

220 \div 22 = 10

miles per gallon (mpg).

This establishes the unit rate for the second vehicle.

Determine the total distance for the round trip.

360 \times 2 = 720

miles.

The route is

360

miles one-way, so a full round trip is double that distance.

Calculate the total fuel required for each truck for the round trip.

Older truck:

720 \div 9 = 80

gallons. Newer truck:

720 \div 10 = 72

gallons.

Divides the total distance by each truck's mpg to find the fuel needed.

Find the difference in fuel consumption.

80 - 72 = 8

gallons.

Subtracting the newer truck's fuel from the older truck's fuel gives the final savings.

Key Concept

Calculating and applying unit rates across multi-step word problems involving round trips.

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