Math help?

Every time the pedals go through a 360 degree rotation on a bike, the tires rotate 3 times. If the tires are 24 inches in diameter, what is the minimum number of complete rotations of the pedals needed for the bike to travel at least 1 mile...

I've narrowed it down to B) 561 or C)281.

How can I solve this problem?

THank you

Okay, so figure it as follows:

5280 feet = 1 mile

12 inches = 1 foot

so: 63,360 inches = 1 mile

c=(pie)d
c=(pie)24
c=75.398

63,360/75.398=840.338

But each rotation of the pedal does 3 full rotations of the tire, so:

840.338/3=280.112

However, if you rounded to 0 decimals, you get 281.6 (63360/75/3), so C is the closest to correct.

I'm not giving you any numerical answers, seems to be somebody's homework to me :)
But here are the steps for calculating the answers

* Calculate the circumference using the given diameter

* Circumference is the distance traveled in one rotation. Calculate how many rotation needed to cover the entire mile.

* Divide the no. of rotations by 3, since with each 360 degree rotation of pedal, the tires rotates 3 times. There is you answer

PS: Make sure you do the unit conversions properly!!

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