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# Aarushi was driving a car with uniform speed of 60 km/h. Draw distance-time graph. From the graph, find the distance travelled by Aarushi in.$\frac{1}{2}$ hour

Given:

Aarushi was driving a car with uniform speed of 60 km/h.

To do:

We have to draw distance-time graph and find the distance travelled by Aarushi in $\frac{1}{2}$ hour.

Solution:

Speed of the car $= 60\ km/h$.

We know that,

Speed $=\frac{\text { Distance }}{\text { time }}$

Let the distance be $y$ and time be $x$

Speed $=\frac{y}{x}$

$=60$

$\Rightarrow y=60x$

To represent the above equation graphically we need at least two solutions for the equation.

If $x=0.5$, then $y=60 \times 0.5=30$

If $x=2.5, then $y=60 \times 2.5=150$

$x$ | $0.5$ | $2.5$ |

$y$ | $30$ | $150$ |

The above situation can be plotted graphically as below:

From the graph,

The distance travelled by Aarushi in $\frac{1}{2}$ hour is 30 km.

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