SOLUTION: The front wheels of a wagon measure 3.5 feet in diameter. The rear wheel measures 4.25 feet in diameter. When the wagon is stopped, a chalk fmark is made on both a front and a rear

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Question 294097: The front wheels of a wagon measure 3.5 feet in diameter. The rear wheel measures 4.25 feet in diameter. When the wagon is stopped, a chalk fmark 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?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The front wheels of a wagon measure 3.5 feet in diameter.
The rear wheel measures 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?
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Factor:
rear wheel: 4.25 = 0.25 * 17
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front wheel: 3.50 = 0.25 * 14
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Least common multiple: 0.25*17*14 = 59.5 ft.
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The rear wheel will go 59.5 ft/4.25 ft = 14 revolutions
The front wheel will go 59.5 ft/3.50 ft= 17 revolutions.
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Cheers,
Stan H.
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