Answer :

**Given:** d_{1} = 80 cm

d_{2} = 2 m

**To find:** Number of revolutions by rear wheel.

**Explanation:**

Diameter of front wheels = d_{1} = 80 cm

Diameter of rear wheels = d_{2} = 2 m = 200 cm

Let r_{1} be the radius of the front wheels = r_{1} = 80/2 = 40 cm

Let r_{2} be the radius of the rear wheels = r_{2} = 200/2 = 100 cm

Now, Circumference of the front wheels = 2πr_{1}

= 2 × (22/7) × 40

= 1760/7 cm

Circumference of the rear wheels = 2πr_{2} = 2 × (22/7) × 100 = 4400/7 cm

No. of revolutions made by the front wheel = 1400

∴ Distance covered by the front wheel = 1400 × (1760/7) = 352000 cm

Number of revolutions made by rear wheel in covering a distance in which the front wheel makes 1400 revolutions =

=

= 560 revolutions.

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