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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