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Q.

The distance travelled is ____ proportional to the time when the speed is constant.

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Detailed Solution

The distance travelled is directly proportional to the time when the speed is constant.
It is given that the speed is constant.
We know that 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 it is given that the speed is constant, let speed = k.

∴ Distance Time = k

This indicates that as the distance D increases, the time taken T also increases.
Therefore, the distance D is directly proportional to time T.

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The distance travelled is ____ proportional to the time when the speed is constant.