Let's break down the calculations step by step.
1. Finding Pira's Speed
To find the speed, we can use the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
Given that Pira drives 825 miles in 17 hours, we can substitute:
\[ \text{Speed} = \frac{825 \text{ miles}}{17 \text{ hours}} \approx 48.24 \text{ miles per hour} \]
2. Finding Pira's Gas Mileage
Gas mileage (in miles per gallon) is calculated using the formula:
\[ \text{Gas Mileage} = \frac{\text{Distance}}{\text{Gallons of Gas}} \]
Given that Pira uses 38 gallons of gas for the trip, we can substitute:
\[ \text{Gas Mileage} = \frac{825 \text{ miles}}{38 \text{ gallons}} \approx 21.68 \text{ miles per gallon} \]
3. Finding the Unit Price Pira Paid for Gas
To find the unit price per gallon of gas, we can use the formula:
\[ \text{Unit Price} = \frac{\text{Total Cost}}{\text{Gallons of Gas}} \]
Given that the total cost of gas is $125, we can substitute:
\[ \text{Unit Price} = \frac{125 \text{ dollars}}{38 \text{ gallons}} \approx 3.29 \text{ dollars per gallon} \]
Summary of Results
- Speed: Approximately 48.24 miles per hour
- Gas Mileage: Approximately 21.68 miles per gallon
- Unit Price for Gas: Approximately $3.29 per gallon