SOLUTION: The speed of a bicycle gear, in revolutions per minute, is inversely proportional to the number of teeth on the gear. If a gear with 60 teeth has a speed of 26 revolutions per min

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: The speed of a bicycle gear, in revolutions per minute, is inversely proportional to the number of teeth on the gear. If a gear with 60 teeth has a speed of 26 revolutions per min      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 317472: The speed of a bicycle gear, in revolutions per minute, is inversely proportional to the number of teeth on the gear. If a gear with 60 teeth has a speed of 26 revolutions per minute, what will be the speed of a gear with 66 teeth? Round the answer to the nearest revolution per minute. Show or explain for me please.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
( speed of a bicycle gear, in revs/min) = k*(1/(number of teeth on gear)
k is called the constant of proportionality
given:
26+=+k%2A%281%2F60%29
k+=+1560
-------------
Let s = speed of gear
With 66 teeth:
s+=+1560%2A%281%2F66%29
s+=+24 revs/min