Which of the subsequent doesn’t vary directly with each other?

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Speed and distance covered

Distance covered and taxi fare

Distance travelled and time taken.

Speed and time taken.

answer is D.

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Detailed Solution

If two quantities

x

and

y

vary in the same way while maintaining a constant ratio between their respective values, then the two quantities are said to be in direct proportion.
i.e.

x y = k,

where k is a constant positive number.
We know that,

Distance = Speed × Time ⇒ Distance Time = Speed

Since, on increasing the speed, there will be an increase in the distance, therefore this is a case of direct proportion.
Now, on increasing the distance covered, there will be an increase in the taxi fare, therefore this is a case of direct proportion.
On increasing the distance covered, there will be an increase in the time taken, therefore this is a case of direct proportion.
But, on increasing the speed, there will be a decrease in the time taken, therefore this is a case of inverse proportion.
Thus, option (4) is correct.

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