SOLUTION: The chain wheel of Emma’s bicycle has a radius of 3.5 inches. The rear gear has a radius of 1.75 inches, and the back tire has a radius of 12 inches. If Emma pedals for 150 re

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Question 1139429: The chain wheel of Emma’s bicycle has a radius
of 3.5 inches. The rear gear has a radius of 1.75 inches, and the
back tire has a radius of 12 inches. If Emma pedals for 150 revo-
lutions of the chain wheel, how far will she travel? Round to the
nearest foot.

Figure of bicycle with 3 measurements upon the wheel and chain:

https://i.imgur.com/sDCiH9U.png
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The chain wheel of Emma’s bicycle has a radius
of 3.5 inches. The rear gear has a radius of 1.75 inches, and the
back tire has a radius of 12 inches. If Emma pedals for 150 revo-
lutions of the chain wheel, how far will she travel? Round to the
nearest foot.
-------
3.5/1.75 = 2, so the wheel makes x*150 = 300 revolutions.
----
Circumference of the tire = 2pi*r = 24pi inches = 2pi feet.
Distance = 600*pi feet
Answer by ikleyn(52908)   (Show Source): You can put this solution on YOUR website!
.
150 revolutions of the chain wheel become 300 revolutions of the back tire.


The back tire has the diameter of 24 inches or 2 feet, so the circumference is   = 2*pi feet.


300 revolutions of the tire give the distance 300*2*pi = 600*pi feet.     ANSWER


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