SOLUTION: a wheel of one car has a diameter of 20 in, the wheel of another car has a diameter of 24 in. About how many more revolution must the smaller wheel make than the larger wheel to tr

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: a wheel of one car has a diameter of 20 in, the wheel of another car has a diameter of 24 in. About how many more revolution must the smaller wheel make than the larger wheel to tr      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 432898: a wheel of one car has a diameter of 20 in, the wheel of another car has a diameter of 24 in. About how many more revolution must the smaller wheel make than the larger wheel to travel 100ft?
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The circumference of the bigger wheel = pi%2Ad+=+24pi%2A%281%2F12%29+=+2pi feet.
The circumference of the smaller wheel = pi%2Ad+=+20pi%2A%281%2F12%29+=+%285pi%29%2F3 feet.
==> Revolutions of larger wheel in 100 ft = 100%2F%282pi%29+=+50%2Fpi revolutions.
==> Revolutions of smaller wheel in 100 ft = 100%2F%28%285pi%29%2F3%29+=+60%2Fpi revolutions.
==> the smaller wheel makes 10%2Fpi more revolutions than the larger wheel to travel 100ft.