Question
If 35 of a tank of gas allows a car to travel 180 miles, how far can the car travel on a full tank?
Answers
GPT-4o mini
To determine how far the car can travel on a full tank, we first need to find the distance per gallon. If 35 units (presumably gallons) of gas allows the car to travel 180 miles, we can calculate the distance the car can travel with 1 gallon by dividing the total distance by the amount of gas used.
\[
\text{Distance per gallon} = \frac{180 \text{ miles}}{35 \text{ gallons}} \approx 5.14 \text{ miles per gallon}
\]
Next, to find out how far the car can travel on a full tank, we need to know the total capacity of the tank. Since we know it can travel 180 miles on 35 gallons, we can find that a full tank would also be expressed in miles based on the same rate.
Let's denote the full capacity of the tank as \( C \) gallons. The distance the car can travel on a full tank is calculated using the distance per gallon:
\[
\text{Distance on a full tank} = \text{Distance per gallon} \times C
\]
Where \( C \) is the total gallons per full tank. Without knowing the value of \( C \), we cannot calculate the exact distance.
If we assume \( C = 35 \) gallons (it may vary in a real scenario), the total distance on a full tank would be:
\[
180 \text{ miles (which is the distance we already know for 35 gallons)}
\]
So the distance the car can travel on a full tank, if it is indeed 35 gallons, is also 180 miles. If \( C \) is any different value, it would be necessary to specify that value to calculate the total distance.
\[
\text{Distance per gallon} = \frac{180 \text{ miles}}{35 \text{ gallons}} \approx 5.14 \text{ miles per gallon}
\]
Next, to find out how far the car can travel on a full tank, we need to know the total capacity of the tank. Since we know it can travel 180 miles on 35 gallons, we can find that a full tank would also be expressed in miles based on the same rate.
Let's denote the full capacity of the tank as \( C \) gallons. The distance the car can travel on a full tank is calculated using the distance per gallon:
\[
\text{Distance on a full tank} = \text{Distance per gallon} \times C
\]
Where \( C \) is the total gallons per full tank. Without knowing the value of \( C \), we cannot calculate the exact distance.
If we assume \( C = 35 \) gallons (it may vary in a real scenario), the total distance on a full tank would be:
\[
180 \text{ miles (which is the distance we already know for 35 gallons)}
\]
So the distance the car can travel on a full tank, if it is indeed 35 gallons, is also 180 miles. If \( C \) is any different value, it would be necessary to specify that value to calculate the total distance.