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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.
Speed in km/hr
x
2461012
Time in hrs
y
6030201210
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 5km/hr
(ii) the speed with which he should travel if he has to cover the distance in 40 hrs.

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Solution

From the table, we observe that as x increases, y decreases.
This type of variation is called indirect variation,
Here, xy=120
Thus, y=120x
Plot the points (2,60),(4,30),(6,20),(10,12) and (12,10)
Join these points by a smooth curve.
From the graph, we have
(i) The number of hours he needed to travel at a speed of 5km/hr is 24hrs.
(ii) The required speed to cover the distance in 40 hrs is 3km/hr
1074519_622678_ans_62e6b7a3979645519cc629ddc6c05b10.PNG

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