A train travels from place A to place B which is nearly 150 km . Give the speed time formula for it and draw the graph. Find the number of hours it takes to travel with a speed of 25 km/hr.

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Solution

Let us form a table that gives the distance and time travelled by train at 25 km/hr.

$\begin{matrix} T i m e (x) & 1 & 2 & 3 & 4 & 5 & 6 D i s t a n c e (y) & 25 & 50 & 75 & 100 & 125 & 150 \end{matrix}$

From the above table, we observe that as x increases y also increases. Therefore, it is direct variation.

We get $y \propto x$ i.e. y = kx

From the table, we find $\frac{25}{1}$ = $\frac{50}{2}$ = $\frac{75}{3}$ = 25 = k

Plot the point (1,25), (2,50), (3,75), (4,100) and join them.

Scale x-axis 1 cm = 1 unit; y-axis 1 cm = 25 units

The train takes 6 hours to cover the distance of 150 km.

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