Question

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The front wheel of a horse carrying makes 144 revolutions while the hind wheel makes 96 revolutions. If the diameter of the front wheel is 72 cm, the diameter of the hind wheel is


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Answer 1

Hello user

This is very simple

Let the radius of hind wheel be r

So, distance covered by hind wheel = ditance covered by front wheel

So,

72*22/7 * 144 = 2*r*22/7*96

2r = 108 cm

So diameter = 108cm

Hope it works.

Answer 2

Hey mate,

Interesting question,

You know,

The wheels belong to the same cart.

So the distance should be equal,

Finding the circumference = 2*pie*r

= 2*22/7*36

= 226.28 cm

So with one revolution the distance covered,

= 226.28/144

= 1.56 cm

So 96 revolutions will take = 1.56*96

= 150 cm ( approx)

So the r = 150*7/22*2

= 23.86 cm

Hope this helps you out!