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The diameter of front and rear wheels of a tractor are $80 cm$ and $2 m$ respectively. Find the number of revolutions that rear wheel will make in covering a distance in which the front wheel makes 1400 revolutions.

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560

350

200

500

answer is A.

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Detailed Solution

Given that, The diameter of the front and rear wheels of a tractor are 80 cm and 2 cm respectively.
We know that, the area of circle is

π r 2

Calculating the radius of the front wheel and the rear wheel.

r = 802 cm

\Rightarrow

40 cm

R = 22 m

\Rightarrow

\Rightarrow

100 cm
Let the number of revolution made by the rear wheel be n.
Since distance travelled by rear wheel in n revolution and the front wheel in 800 revolutions will be equal.
Compare the front and rear wheel revolution.

n × 2 π R = 1400 × 2 π r

\Rightarrow

n × R = 1400 × r

\Rightarrow

n × 100 = 1400 × 40

\Rightarrow

n = 560
Then, number of revolution made by the rear wheel is 560.
Hence the correct option is 1.

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