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?

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?

Ques:- 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?
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2 Answers on this Question

  1. Let the revolutins made by bigger wheel is: x
    then revolution by smaller wheel will be: x+10
    Now, the distance covered by both wheels will be same.
    So,
    7(x+10)=9x
    7x+70=9x
    70=2x
    35=x
    so distance travelled=9*35=315
    or 7*45=315

  2. Let the revolutins made by rear wheel be: x
    then revolution by front wheel will be: x+10
    Now, the distance covered by both will be same.
    So,
    7(x+10)=9x
    7x+70=9x
    70=2x
    35=x
    So the total distance is 7*35 i.e. 315 feets.

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