SOLUTION: The distance from Philadelphia to Sea Isle City is 100 miles. The tires on the car have a radius of 14inches. How many revolutions of each tire occured on the trip?

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Question 42282: The distance from Philadelphia to Sea Isle City is 100 miles. The tires on the car have a radius of 14inches. How many revolutions of each tire occured on the trip?
Answer by psbhowmick(489) About Me  (Show Source):
You can put this solution on YOUR website!
Let the tyre revolves 'n' times in the distance 100 miles.

In each revolution of the tyre, the car moves a distance equal to the circumference of the tyre.
So if the diameter of the tyre be 'd' inches then in 1 revolution the car moves pi%2Ad inches.
Hence in 'n' revolutions the car will move n%2Api%2Ad inches.

Here d = 14, so in 'n' revolutions the car will move n%2A%2822%2F7%29%2A14+=+44n inches.

As the car travels 100 miles in 'n' revolutions of the wheel so this distance 44n inches must be equal to (100 x 5280 x 12 =) 6336000 inches
So 44%2An+=+6336000
or n+=+6336000%2F44+=+144000

So the reqd. no. of revolutions of the wheel is 144000.