# The diameters 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 - Mathematics

Sum

The diameters 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.

#### Solution

Diameter of front wheels = d1 = 80 cm

Diameter of rear wheels = d2 = 2 m = 200 cm

Let r1 be the radius of the front wheels = 80/2 = 40 cm

Let r2 be the radius of the rear wheels = 200/2 = 100 cm

Now, Circumference of the front wheels = 2πr

= 2 × 22/7 × 40

= 1760/7 cm

Circumference of the rear wheels = 2πr = 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 = "Distance covered by front wheel"/"Circumference of the rear wheel"

= 352000/(4400/7)

= (352000 xx 7)/4400

= 560 revoolutions.

Concept: Circumference of a Circle
Is there an error in this question or solution?

#### APPEARS IN

NCERT Mathematics Exemplar Class 10
Chapter 11 Area Related To Circles
Exercise 11.4 | Q 2 | Page 132

Share