The circumference of the front wheel of the cart is 30 feet long and that of the back wheel is 36 feet long . What is the distance travelled by the cart , when the front wheel has done five more revolutions than the rear wheel

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Solution

The circumference of the front wheel is 30 ft and that of the rear wheel is 36 feet.

Let the rear wheel make n revolutions. At this time, the front wheel should have made n+5 revolutions.

As both the wheels would have covered the same distance, n36 = (n+5)30

36n = 30n + 150

6n = 150

n = 25.

Distance covered = 25*36 = 900 ft.

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