SOLUTION: The 20 inch diameter wheels of one car travel at a rate of 24 revolutions per minute, while the 30 inch diameter wheels of another car travel at a rate of 18 revolutions per minute
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Question 515161: The 20 inch diameter wheels of one car travel at a rate of 24 revolutions per minute, while the 30 inch diameter wheels of another car travel at a rate of 18 revolutions per minute. What is the ratio of the speed of the second car to that of the first? Found 2 solutions by josmiceli, lwsshak3:Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Compare the straight line distance that each car goes in 1 min
20" dia wheels:
speed is proportional to
30" dia wheels:
speed is proportional to
( 2nd car's speed ) / ( 1st car's speed ) =
You can put this solution on YOUR website! The 20 inch diameter wheels of one car travel at a rate of 24 revolutions per minute, while the 30 inch diameter wheels of another car travel at a rate of 18 revolutions per minute. What is the ratio of the speed of the second car to that of the first?
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For car with 20 inch wheels:
circumference=2πr=2π*10=20π inches
speed of car=24rev/min*20π inches/rev=48π inches/min
..
For car with 20 inch wheels:
circumference=2πr=2π*15=30π inches
speed of car=24rev/min*30π inches/rev=72π inches/min
..
speed of 2nd car/speed of 1st car=72/48=3/2
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