10 Sep
Chalk Mark
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Math Wheel Distance Question: How far must the wagon travel so that both wheels are back at first position?
Here is the entire question: The front wheels of a wagon measure 3.5 feet in diameter. The rear wheels measure 4.25 feet in diameter. When the wagon is stopped, a chalk mark is made on both a front and a rear wheel. How far must the wagon travel before both chalk marks return to their initial position at the same time?
Please show any work, and your help is greatly appreciated. Thanks.
i assume the chalk marks are made to the points where the wheels touch the ground.
distance for 1 revolution,
d(3.5) = 7π/2
d(4.25) = 17π/4
LCM of both distances
= 7*17π/2
= 59.5π ft
= 186.92 ft
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