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  • A train covers a distance of 480 km at a uniform speed. If the speed had been 8 km/hr less, then it would have taken 3 hours more to cover the same distance. Find the original speed of the train.    <div style="float:left; wi

A train covers a distance of 480 km at a uniform speed. If the speed had been 8 km/hr less, then it would have taken 3 hours more to cover the same distance. Find the original speed of the train. 

 

 
 
 
 
 

Answers (1)

Let x be the original speed of the train. Let t be the time taken to travel with speed x. Then the time is taken to travel with speed x-8=t+3, that is

\\\frac{480}{x}=t.....(1)\\\\\frac{480}{x-8}=t+3........(2)\\(2)-(1)implies\\\frac{480}{x-8}-\frac{480}{x}=3\\\\x^2-8x-1280=0\\(x+32)(x-40)=0\\\text{The acceptable value is 40. There fore the speed of the train is 40Km/h}

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