Question #6: Biking with Larry & Garry
Two boys, Larry and Garry, ride bikes, whose sizes are proportional to the boys' heights.
Larry's height is 1.40 m, while Garry's height is 1.50 m. To spice things up, the boys decide
to interchange rear gears on their bikes. Now, how much faster than Garry does Larry need
to pedal to match Garry's speed? Assume that the bikes are identical except for the sizes
of the corresponding parts. Each bike has one front and one rear gear, the number of teeth
in each gear is proportional to its size.
a) 0.871
b) 0.933
c) 1.07
d) 1.15
e) 1.23
Larry's Bike
Garry's Bike