# The circumference of the front wheel of a cart is 3 m long and that of the back wheel is 4 m long. What is the distance travelled by the cart, when the front wheel makes five more revolutions than the rear wheel?

**Solution:**

Let the __distance__ covered by the cart = D metres

Let the revolutions made by rear wheel = n

Therefore revolutions made by front wheel = n + 5

Therefore 3(n + 5) = 4n

3n + 15 = 4n

4n - 3n = 15

n = 15

Therefore distance travelled = 3(15 + 5) = 60m

**✦ Try This: **The circumference of the front wheel of a cart is 2 m long and that of the back wheel is 5 m long. What is the distance travelled by the cart, when the front wheel makes 6 more revolutions than the rear wheel?

Let the distance covered by the cart = D metres

Let the revolutions made by rear wheel = n

Therefore revolutions made by front wheel = n + 6

Therefore 2(n + 6) = 6n

2n + 12 = 6n

6n - 2n = 12

4n = 12

n = 3

Therefore distance travelled = 2(3 + 6) =18 m

The distance travelled by the cart is 18m.

**☛ Also Check: **NCERT Solutions for Class 8 Maths Chapter 11

**NCERT Exemplar Class 8 Maths Chapter 11 Problem 63**

## The circumference of the front wheel of a cart is 3 m long and that of the back wheel is 4 m long. What is the distance travelled by the cart, when the front wheel makes five more revolutions than the rear wheel?

**Summary:**

The circumference of the front wheel of a cart is 3 m long and that of the back wheel is 4 m long. The distance travelled by the cart, when the front wheel makes five more revolutions than the rear wheel, is 60m

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