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Difficulty: EasyFuel Efficiency and Range

A military patrol boat consumes 40 gallons of fuel per hour and travels at a constant speed of 20 miles per hour. If the boat completes a round trip to an island 60 miles away, how many gallons of fuel will it use in total?

  1. A
    6
  2. B
    60
  3. C
    120
  4. 240Answer

Answer

The boat will use a total of 240 gallons of fuel.
First, find the total distance for the round trip, which is 120120 miles (6060 miles each way). At a speed of 2020 miles per hour, the entire trip takes 66 hours (120÷20120 \div 20). Since the boat burns 4040 gallons per hour, multiply the time by the fuel rate to find the total fuel consumed: 6×40=2406 \times 40 = 240 gallons.

Step-by-Step Solution

1
Calculate the total distance for the round trip.
60×2=12060 \times 2 = 120 miles
The boat must travel to the island and then return along the same route.
2
Calculate the total travel time in hours.
120÷20=6120 \div 20 = 6 hours
Time is equal to total distance divided by the constant speed.
3
Calculate the total fuel consumed.
6×40=2406 \times 40 = 240 gallons
Total fuel used is the travel time multiplied by the hourly fuel consumption rate.

Key Concept

Calculating total fuel consumption for a round trip using speed, distance, and fuel rate.

Alternative Method

Find the fuel consumption per mile first: 4040 gallons per hour ÷20\div 20 miles per hour = 22 gallons per mile. Then, multiply this rate by the total round-trip distance: 120120 miles ×2\times 2 gallons per mile = 240240 gallons.
Estimated Time:45s
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Topics

Fuel Efficiency and Range

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