You are going to drive 480 miles today at an average speed of 60 miles per hour. Thus you are going to drive for a total of 8 hours. The diameter of the wheels on your car (including tires) is 25 inches. Thus each wheel is going to turn a total of ___ times today.

I have tried everything. Can somebody please show me how to do this problem.

how many feet is 480 miles?

how many feet is the circumference of the tire (PI*D)

number turns=feet driven/circumference

To find the total number of times each wheel turns, we need to determine the total distance traveled by the car and then calculate the number of wheel revolutions based on the diameter of the wheels.

First, let's find the total distance traveled by the car. We are given that the average speed is 60 miles per hour, and the total distance is 480 miles. We can use the formula:

Distance = Speed × Time

Rearranging the formula to solve for time:

Time = Distance / Speed

Plugging in the values:

Time = 480 miles / 60 miles per hour
Time = 8 hours

So, the car will be driving for a total of 8 hours.

Now, let's calculate the total number of revolutions each wheel will make. We are given the diameter of the wheels, which is 25 inches. The formula to calculate the circumference of a circle (which represents the distance traveled by each wheel in one revolution) is:

Circumference = π × Diameter

Plugging in the value:

Circumference = π × 25 inches

To find the total number of wheel revolutions, we need to divide the total distance traveled by the circumference of each wheel:

Total Wheel Revolutions = Total Distance / Circumference

Plugging in the values:

Total Wheel Revolutions = 480 miles / (π × 25 inches)

To simplify the calculation, we can convert miles to inches:

1 mile = 63,360 inches

Total Wheel Revolutions = (480 miles × 63,360 inches) / (π × 25 inches)

Calculating the equation:

Total Wheel Revolutions = 12,441,600 inches / (π × 25 inches)

Finally, dividing the total inches by the circumference of each wheel (in inches) gives us the total number of wheel revolutions:

Total Wheel Revolutions = 12,441,600 inches / (π × 25 inches)
Total Wheel Revolutions ≈ 157,916 revolutions

Therefore, each wheel will turn approximately 157,916 times today.