A cyclist travels from a place A to a place B along the same route at a uniform speed on different days- The following table gives the speed of his travel and the corresponding time he took to cover the distance- begin array - c - c -Time in - hr - y - axis - 60 - 30 - 20 - 12 ll hlinelend array Draw the speed-time graph and use it to findi The number of hours he will take if he travels at a speed of 5 km - hrii The speed with which he should travel if he has to cover the distance in 40 hrs-

[ Speed in km/hr (x axis) amp; 2 amp;4 amp; 6 amp; 10; Time in ...

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Standard VIII

Mathematics

Application of Graphs

A cyclist tra...

Question

A cyclist travels from a place A to a place B along the same route at a uniform speed on different days. The following table gives the speed of his travel and the corresponding time he took to cover the distance.

$\begin{matrix} S p e e d i n k m / h r (x - a x i s) & 2 & 4 & 6 & 10 T i m e i n h r (y - a x i s) & 60 & 30 & 20 & 12 \end{matrix}$

Draw the speed-time graph and use it to find

(i) The number of hours he will take if he travels at a speed of 5 km/hr

(ii) The speed with which he should travel if he has to cover the distance in 40 hrs.

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Solution

$\begin{matrix} S p e e d i n k m / h r (x - a x i s) & 2 & 4 & 6 & 10 T i m e i n h r (y - a x i s) & 60 & 30 & 20 & 12 \end{matrix}$

From the table, we observe that as x increases, decreases.

This type of variation is called indirect variation.

Here, = 120.

Plot the points (2 , 60), (4 , 30),

(6 , 20), (10 , 12) and (12 , 10).

1) The cyclist takes 24 hours to travel from place A to place B at a speed of 5 km/hr.

2) The required speed to cover the distance in 40 hours is 3 km / hr.

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Time in hrs $y$	$60$	$30$	$20$	$12$	$10$

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