SOLUTION: A penny farthing bicycle is a type of bicycle with one large front wheel and one small rear shell. On a particular penny-farthing bicycle, the radius of the front shell is three t

Algebra ->  Circles -> SOLUTION: A penny farthing bicycle is a type of bicycle with one large front wheel and one small rear shell. On a particular penny-farthing bicycle, the radius of the front shell is three t      Log On


   



Question 1141799: A penny farthing bicycle is a type of bicycle with one large front wheel and one small rear shell. On a particular penny-farthing bicycle, the radius of the front shell is three times larger than the radius of the rear wheel. For ever one time the front wheel completes a revolution, how many times will the rear wheel complete a revolution?
A)9
B)3
C)1/3
D)1/9

Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+2pi%2Ar+ = perimeter of small wheel
+2pi%2A3r+ = perimeter of large wheel
[ large P ] / [ small P ] = 3/1
The small wheel traces out it's perimeter 3 times
when the large wheel rotates once.
B) 3

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
1 time larger is 2x as large.
2 times larger is 3x as large.
3 times larger is 4x as large.
--------- 4 revs of the small wheel for 1 rev of the large wheel