How much will gas cost for a 1200-mile trip

How much will gas cost for a 1200-mile trip?
How much gas does it take to drive 500 miles? How many gallons do you need to go 700 miles? How much gas does it take to drive 5 hours?

The Correct Answer and Explanation is:

To determine how much gas will cost for a 1,200-mile trip, how much gas is needed for various distances, and how gas consumption relates to time, we need to consider several factors: the distance to be traveled, the vehicle’s fuel efficiency (measured in miles per gallon or MPG), and the cost of gas per gallon. For the sake of this explanation, let’s assume the following:

  1. Fuel Efficiency: The vehicle gets 25 miles per gallon (MPG).
  2. Cost of Gas: The average price of gas is $3.50 per gallon.

Calculations

  1. Cost for a 1,200-mile trip:
  • Gallons needed:
    [
    \text{Gallons} = \frac{\text{Distance}}{\text{MPG}} = \frac{1200 \text{ miles}}{25 \text{ MPG}} = 48 \text{ gallons}
    ]
  • Total cost:
    [
    \text{Total Cost} = \text{Gallons} \times \text{Cost per Gallon} = 48 \text{ gallons} \times 3.50 = 168 \text{ dollars}
    ]
  1. Gas for 500 miles:
  • Gallons needed:
    [
    \text{Gallons} = \frac{500 \text{ miles}}{25 \text{ MPG}} = 20 \text{ gallons}
    ]
  1. Gas for 700 miles:
  • Gallons needed:
    [
    \text{Gallons} = \frac{700 \text{ miles}}{25 \text{ MPG}} = 28 \text{ gallons}
    ]
  1. Gas for a 5-hour drive:
  • Assuming an average speed of 60 miles per hour (MPH):
  • Distance:
    [
    \text{Distance} = 5 \text{ hours} \times 60 \text{ MPH} = 300 \text{ miles}
    ]
  • Gallons needed:
    [
    \text{Gallons} = \frac{300 \text{ miles}}{25 \text{ MPG}} = 12 \text{ gallons}
    ]

Summary of Findings

  • A 1,200-mile trip will cost approximately $168 in gas.
  • To drive 500 miles, you will need 20 gallons of gas.
  • To cover 700 miles, you will require 28 gallons.
  • For a 5-hour drive at an average speed of 60 MPH, you will use about 12 gallons.

Understanding fuel consumption and cost helps travelers budget effectively and make informed decisions regarding road trips. It emphasizes the importance of knowing a vehicle’s MPG and considering gas prices when planning long-distance travel.

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