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# A car moves a distance of 2592 km with uniform speed. The number of hours taken for the journey is one-half the number representing the speed, in km/hour. Find the time taken to cover the distance.

Given:

A car moves a distance of 2592 km with uniform speed. The number of hours taken for the journey is one-half the number representing the speed, in km/hour.

To do:

We have to find the time taken to cover the distance.

Solution:

Let the speed of the car be $x$ km/hr.

This implies,

Time taken by the car$=\frac{x}{2}$ hours.

We know that,

Distance$=$Speed$\times$Time

Therefore,

$2592=(x)\times(\frac{x}{2})$

$2(2592)=x^2$

$x^2=5184$

$x=\sqrt{5184}$

$x=72$

$\frac{x}{2}=\frac{72}{2}=36$

**The time taken to cover the distance is 36 hours.**

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