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Perimeter of the back wheel = 9 feet, front wheel = 7 feet on a certain distance, the front wheel gets 10 revolutions more than the back wheel. What is the distance?


315 feet..

since front wheel takes 10 more revolutions so it travels 70 feet in those extra number of revolutions.
But distance travelled by front wheel is less by 2 feet as compared to rear wheel for each revolution. So this loss of 2 feet is covered by those extra revolutions taken by the front wheel.
So a deficit of 70 feet would have been created by 70/2=35 revolutions.
So rear wheel travels 35 revolution (and front wheel takes 35+10=45 Revs.) So distance is 35*9 (or 45*7) = 315 feet

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