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Difficulty: MediumFuel Efficiency and Range

A maritime supply vessel consumes fuel at a rate of 2.52.5 gallons per mile. The vessel leaves its home port with exactly 500500 gallons of fuel to complete a round-trip delivery to an offshore research station located 7070 miles away. Assuming the fuel consumption rate remains constant, how many gallons of fuel will remain in the tank when the vessel returns to its home port?

  1. 150150Answer
  2. B
    325325
  3. C
    444444
  4. D
    465465

Answer

150 gallons
The total distance for the round trip is 140 miles (70 miles each way). Multiplying this distance by the consumption rate of 2.5 gallons per mile gives a total fuel usage of 350 gallons. Subtracting the 350 gallons used from the initial 500 gallons leaves 150 gallons of fuel remaining.

Step-by-Step Solution

1
Calculate the total round-trip distance.
70×2=14070 \times 2 = 140 miles
The vessel must travel to the station and back to the home port.
2
Determine the total amount of fuel consumed.
140×2.5=350140 \times 2.5 = 350 gallons
Multiply the total miles by the gallons consumed per mile to find the overall fuel usage.
3
Calculate the remaining fuel in the tank.
500−350=150500 - 350 = 150 gallons
Subtract the total fuel consumed from the starting amount of fuel.

Key Concept

Calculating total fuel consumption based on distance and burn rate, and applying it to a starting capacity.
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Topics

Fuel Efficiency and Range

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