Question

Paul drives 825 miles to California. The trip takes him 17 hours. He uses 38 gallons of gas on the trip, which costs him only $5. Find a speed, find his gas mileage, and find the unit price he paid for gas.

A) Speed: 48.53 mph; Gas Mileage: 21.71 mpg; Unit Price: $0.13/gallon
B) Speed: 48.53 mph; Gas Mileage: 21.71 mpg; Unit Price: $0.08/gallon
C) Speed: 53.82 mph; Gas Mileage: 23.68 mpg; Unit Price: $0.13/gallon
D) Speed: 53.82 mph; Gas Mileage: 23.68 mpg; Unit Price: $0.08/gallon
E) None of the above.

Answer 1

To find the speed, divide the distance traveled by the time taken. To find the gas mileage, divide the distance traveled by the amount of gas used. To find the unit price, divide the cost of gas by the amount of gas used. Option A is correct.

Step-by-step explanation:

To find the speed, we divide the distance traveled by the time taken. The speed is given by the equation:

Speed = Distance / Time

Substituting the given values, we have:

Speed = 825 miles / 17 hours = 48.529 mph (rounded to two decimal places)

To find the gas mileage, we divide the distance traveled by the amount of gas used. The gas mileage is given by the equation:

Gas Mileage = Distance / Gas Used

Substituting the given values, we have:

Gas Mileage = 825 miles / 38 gallons = 21.711 mpg (rounded to two decimal places)

To find the unit price he paid for gas, we divide the cost of gas by the amount of gas used. The unit price is given by the equation:

Unit Price = Cost of Gas / Gas Used

Substituting the given values, we have:

Unit Price = $5 / 38 gallons = $0.1316/gallon (rounded to two decimal places)

Therefore, the correct option is A) Speed: 48.53 mph; Gas Mileage: 21.71 mpg; Unit Price: $0.13/gallon.