Question

A circus bike has a front wheel of diameter 99 cm, which is 1 cm less than the diameter of the rear
wheel
While going around the circus, if the smaller wheel makes one more rotation than the larger, find the
number of rotations made by the larger wheel​

Answer 1

Given :  A circus bike has a front wheel of diameter 99 cm, which is 1 cm less than the diameter of the rear wheel. smaller wheel makes one more rotation than the larger

To find : the number of rotations made by the larger wheel.

Solution:

Circumference of circle = π  * Diameter

Front wheel Diamter = 99 cm

Rear wheel  Diameter  99 + 1  = 100 cm

Let say rotation made by larger wheel ( Rear wheel )  = N

Then Distance covered by Larger wheel = N * Circumference of wheel

= N  * 100 π   cm

Then Distance covered by Smaller wheel = (N +1)* Circumference of wheel

= (N+1)  * 99 π    cm

Both distances would equal

=>  N  * 100 π   = (N+1)  * 99 π  

=> 100N   = 99N  +  99

=> N = 99

rotations made by the larger wheel.  = 99

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