Question

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

Answer 1

Given that, the circumference of the front wheel of a cart is $3m$ and that of the back wheel is $4m$.

Also, the front wheel makes five more revolutions than the back.

To find out: The distance travelled by the cart.

Let the distance be $xm$.

$\therefore \frac{x}{3}-\frac{x}{4}=5$

$\Rightarrow \frac{4x-3x}{12}=5$

$\Rightarrow x=5\times 12=60m$

Hence, the distance travelled by the cart is $60m$.