From the definitions, we know that
\(\begin{array}{l}Speed = \frac{Distance\;travelled}{Time\;taken}\end{array} \)
And
\(\begin{array}{l}Velocity = \frac{Displacement\;of\;body}{Time\;taken}\end{array} \)
Consider the figure given below:
From the figure, speed and velocity can be given as:
\(\begin{array}{l}Speed = \frac{AB+BC}{t}\end{array} \)
And
\(\begin{array}{l}Velocity = \frac{AC}{t}\end{array} \)
Substituting the values, we get
\(\begin{array}{l}Speed = \frac{x+2y}{t}\end{array} \)
And
\(\begin{array}{l}Velocity = \frac{x}{t}\end{array} \)
Therefore, speed is greater than speed.
