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

Posted by Rushvi Parikh 6 years, 6 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 6 months ago

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

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

There fore time taken = {tex}\frac { x } { 2 }{/tex} hour

{tex}\therefore {/tex} {tex}speed= \frac { \text { Distance } } { \text { Time } }{/tex}

{tex}x = \frac { 2592 } { \frac { x } { 2 } }{/tex}

{tex}\Rightarrow \quad x ^ { 2 } = 2592 \times 2{/tex}

{tex}x ^ { 2 } = 5184{/tex}

{tex}x ^ { 2 } = \sqrt { 5184 }{/tex}

x = 72

Hence the time taken will be {tex}\frac { 72 } { 2 } = 36{/tex} hours.

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