Math Problem Statement
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 33 miles per gallon on the highway if your average speed is 52 miles per hour, and it averages 21 miles per gallon on the highway if your average speed is 69 miles per hour. The driving time at 52 miles per hour is how many hours.
(Type an integer or decimal rounded to two decimal places as needed.)
Solution
To calculate the driving time, we need to first determine the distance traveled and then use the speed to find the time.
Given information:
- Car averages 33 miles per gallon at 52 miles per hour.
- Car averages 21 miles per gallon at 69 miles per hour.
- We need to calculate the driving time at 52 miles per hour.
However, the problem does not mention the specific distance or total number of gallons consumed. To solve this, we need additional details, such as the total distance traveled or total fuel consumption.
Could you provide further information on the total distance or fuel used? Without this, it’s not possible to calculate the exact time.
In the meantime, here are 5 related questions to expand on the given scenario:
- What is the total distance traveled during the highway trip?
- How much fuel did you use on the highway trip?
- How would you calculate the fuel efficiency for city driving instead of highway driving?
- How does fuel consumption vary with speed?
- How can we model gas mileage as a function of speed?
Tip: When working with fuel efficiency problems, always make sure you have all key variables: distance, speed, and fuel consumption.
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Math Problem Analysis
Mathematical Concepts
Distance, Rate, and Time
Algebra
Formulas
Time = Distance / Speed
Theorems
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Suitable Grade Level
Grades 6-8