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Circumference- Wheels

 
 
Reply Sat 4 Oct, 2014 03:59 pm
The front wheel of a carriage makes 6 revolutions more than the rear wheel in traveling 360 feet. If the circumference of each wheel was 3 feet larger, the front wheel would make 4 revolutions more than the rear wheel in traveling the same distance. Determine circumference of each wheel.

What is known:
In traveling 360 feet, the front wheel of a carriage makes 6 revolutions more than the rear wheel.

The front wheel would make 4 revolutions more than the rear wheel in traveling same distance if the circumference of each wheel was 3 feet larger.

Want to know:
Circumference of each wheel.



Let x= circumference feet of front wheel.
Let y= circumference feet of rear wheel.

The front wheel makes 360/x revolutions.
The rear wheel makes 360/y revolutions.

First situation:

360/x = 360/y + 6


If 3 feet were added to circumference of each wheel:

360/x + 3 = front wheel revolutions.
360/y + 3 = rear wheel revolutions.

Second situation:

360/x + 3 = 360/y + 3 + 4

How do I proceed ?

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