Sure! Let's break down the problem step-by-step:
1. Understand the given values:
- The car uses 7 gallons of gas to travel 119 miles.
2. Calculate the fuel efficiency of the car:
- We need to determine how many miles the car can travel for each gallon of gas. This is known as miles per gallon (mpg).
- To find the mpg, we divide the distance traveled by the amount of gas used.
[tex]\[
\text{mpg} = \frac{\text{distance (in miles)}}{\text{gas used (in gallons)}}
\][/tex]
- Substituting the given values:
[tex]\[
\text{mpg} = \frac{119 \text{ miles}}{7 \text{ gallons}} = 17 \text{ miles per gallon}
\][/tex]
3. Determine the distance the car can travel on 10 gallons of gas:
- We now have the car's fuel efficiency, which is 17 miles per gallon. We need to calculate the distance the car can travel on 10 gallons of gas.
- To find this distance, multiply the fuel efficiency by the amount of gas used:
[tex]\[
\text{distance} = \text{mpg} \times \text{gas used (in gallons)}
\][/tex]
- Substituting the values:
[tex]\[
\text{distance} = 17 \text{ miles per gallon} \times 10 \text{ gallons} = 170 \text{ miles}
\][/tex]
Therefore, if the car uses 7 gallons of gas to travel 119 miles at a certain speed, it can travel 170 miles on 10 gallons of gas if it travels at the same speed.
