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Question

Which of the following vary inversely with each other?


A

speed and distance covered.

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B

distance covered and taxi fare.

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C

distance traveled and time is taken.

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D

speed and time taken.

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Solution

The correct option is D

speed and time taken.


Determine the inversely with each other.

The explanation for the correct option:

Option (D): speed and time taken.

In mathematics, inversely included terms are those in which a change in one causes a change in the other. Though one-word increases while the other declines, which is said to be in inverse proportion.

If a person walks faster to cover a particular distance, the time it takes to traverse the distance will be shorter, and vice versa. Here as result, the speed and time taken are inversely proportional.

Hence, the correct choice is “Option D”.

The explanation for incorrect options:

Option (A): speed and distance covered.

Speed and distance covered a greater distance as our speed increases, and it's directly proportional.
Option (B): distance covered and taxi fare.

Distance traveled and fair pay are closely proportional because as our distance grows, we pay more for that distance.
Option (C): distance traveled and time is taken.

The distance traveled and the time taken is directly proportional since as our distance grows, so does the time required to cover it.

Hence, the incorrect choice is “Option A, Option B, and Option C”.

Hence, the correct choice is “Option D”.


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