pira drives 825 miles to california. the trip takees him 17 hours. he uses 38 gallons of gas on the trip, which costs him $125

find his speed.
find his gas mileage.
find the unit price he paid for gas.

1 answer

To find the answers to your questions, we can calculate each one step by step:

  1. Finding Speed: To find Pira's speed, we can use the formula: \[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \] Here, the distance is 825 miles and the time is 17 hours. \[ \text{Speed} = \frac{825 \text{ miles}}{17 \text{ hours}} \approx 48.24 \text{ miles per hour} \]

  2. Finding Gas Mileage (miles per gallon): To find the gas mileage, we can use the formula: \[ \text{Gas Mileage} = \frac{\text{Distance}}{\text{Gallons of Gas}} \] Here, the distance is 825 miles and the gallons used is 38. \[ \text{Gas Mileage} = \frac{825 \text{ miles}}{38 \text{ gallons}} \approx 21.68 \text{ miles per gallon} \]

  3. Finding the Unit Price Paid for Gas: To find the unit price paid for gas, we can use the formula: \[ \text{Unit Price} = \frac{\text{Total Cost}}{\text{Gallons of Gas}} \] Here, the total cost is $125 and the gallons used is 38. \[ \text{Unit Price} = \frac{125 \text{ dollars}}{38 \text{ gallons}} \approx 3.29 \text{ dollars per gallon} \]

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