Question

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?

Answer 1

Let the total distance travelled by the cart be ‘x’ metres Number of revolutions = (Distance travelled)/(Circumference) Number of revolutions made by front wheel = x/3 Number of revolutions made by rear wheel = x/4 

x/3-x/4 =5
4x-3x/12=5
x/12=5
x=60
the total distance travelled by the cart is 60 metres.

Answer 2

Answer:

60 m

Step-by-step explanation:

Distance traveled by front wheel in 1 revolution= circumference=3m

Distance traveled by rear wheel=circumference=4m

Let the distance traveled be x meter

So distance traveled by front wheel is x/3 meter

So distance traveled by rear wheel is x/4 metre

ATQ

Distance traveled by front wheel - distance traveled by rear wheel= distance traveled by the 5 extra revolutions taken by the front wheel

x/3-x/4. (LCM)

4x/12-3x/12

x/12 metres

Next, extra distance= extra revolutions

x/12=5

x= 5×12

x=60

So the total distance was 60 metres

( Same as the solution given in ncert examplar class 8)

Thx