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Difficulty: HardFuel Efficiency and Range

A military supply convoy travels from Base Alpha to Base Bravo, a distance of 180 miles, and then returns along the exact same route. Fully loaded on the outbound trip, the convoy vehicles average 12 miles per gallon (MPG). Empty on the return trip, they average 15 MPG. If standard diesel fuel costs $4.00 per gallon, what is the total cost of fuel consumed by one vehicle for the entire round trip?

  1. $108.00Answer
  2. B
    $60.00
  3. C
    $6.75
  4. D
    $10.80

Answer

The total cost of fuel for the round trip is $108.00.
The correct answer accurately determines the total fuel by breaking the round trip into two separate legs with different efficiencies. The outbound leg requires 15 gallons (180 / 12) and the return leg requires 12 gallons (180 / 15), for a total of 27 gallons. Multiplying this total by the 4.00pricepergallonyields4.00 price per gallon yields 108.00.

Step-by-Step Solution

1
Calculate the fuel consumed on the outbound trip.
180 miles / 12 MPG = 15 gallons
Dividing distance by fuel efficiency gives the amount of fuel used for the first leg.
2
Calculate the fuel consumed on the return trip.
180 miles / 15 MPG = 12 gallons
The return trip covers the same distance but at a different fuel efficiency because the vehicle is empty.
3
Determine the total amount of fuel consumed for the entire round trip.
15 gallons + 12 gallons = 27 gallons
Adding the fuel from both legs gives the total fuel requirement.
4
Calculate the total cost of the fuel.
27 gallons * 4.00/gallon=4.00/gallon = 108.00
Multiplying the total gallons used by the price per gallon yields the final cost.

Key Concept

Multi-step fuel efficiency and round-trip cost calculation.
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Topics

Fuel Efficiency and Range

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