Question

When they started that morning, the roads were clear. They managed to maintain 65 mph for 2 and a half hours, 60 mph for 2 hours, 70 mph for an hour, and finally 35 mph for another hour to get to their destination. What is their total mileage, velocity, how long it took on the road, and what is the average speed? Also, calculate the cost of energy used if the cost per gallon is $3.35 at a rate of 33 miles per gallon.

a. Total mileage
b. Velocity
c. Time on the road
d. Average speed
e. Cost of energy used

Answer 1

The total mileage is 387.5 miles, the velocity is 51.67 mph, the time on the road is 6.5 hours, the average speed is 59.62 mph, and the cost of energy used is $39.32.

Step-by-step explanation:

To find the total mileage, add up the distances traveled at each speed: 65 mph for 2.5 hours = 162.5 miles, 60 mph for 2 hours = 120 miles, 70 mph for 1 hour = 70 miles, and 35 mph for 1 hour = 35 miles. So the total mileage is 162.5 + 120 + 70 + 35 = 387.5 miles.

To find the velocity, divide the total mileage by the total time: 387.5 miles / 7.5 hours = 51.67 mph.

The time on the road is 2.5 hours + 2 hours + 1 hour + 1 hour = 6.5 hours.

The average speed is the total mileage divided by the time on the road: 387.5 miles / 6.5 hours = 59.62 mph.

To calculate the cost of energy used, divide the total mileage by the fuel efficiency: 387.5 miles / 33 miles per gallon = 11.74 gallons. Multiply this by the cost per gallon: 11.74 gallons * $3.35 per gallon = $39.32.