If the radius of the smaller gear is 1.5 inches and the radius of the large gear is 4.5 inches then the bicycles can travel a distance of 62.83 inches.
Given radius of the small gear=1.5 inches and radius of the larger gear=4.5 inches.
Number of rotation of the small gear for each rotation of the larger gear=4.5/1.5=3
Distance which the bicycle can travel=3*2πr.
=3*2*π*10
=60π inches.
Difference in distance travelled=60π inches-40π inches.
=20π inches
put π=3.14
=20*3.14
=62.83 inches.
Hence the distance that the bicycle travels is 62.83 inches if the radius of smaller gear is 1.5 inches and radius of the larger gear is 4.5 inches.
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Question is incomplete as it should includes:
Description about the question that person is travelling through bicycle. That's why radius of gears has been given.
