Use Of Statistical Tools - Class 11 Commerce Economics - Extra Questions

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 $$km/hr$$
$$x$$		$$2$$$$4$$$$6$$$$10$$$$12$$
Time in hrs
$$y$$		$$60$$$$30$$$$20$$$$12$$$$10$$
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.

From the table, we observe that as $$x$$ increases, $$y$$ decreases.
This type of variation is called indirect variation,
Here, $$xy=120$$
Thus, $$y=\cfrac{120}{x}$$
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 $$24$$hrs.
(ii) The required speed to cover the distance in $$40$$ hrs is $$3km/hr$$
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Why is fusion of an organic compounds with sodium required?


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Class 11 Commerce Economics Extra Questions