Question

A Train travels a distance of 480 km at a uniform speed. if the speed had been 8 km/h less, then it would take 3 hours more to cover the same distance. We need to find the speed of the train.

Form a quadratic equation for the given question.

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Answer 1

Heya user.............. ❤

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

Therefore, time taken to travel a distance of 480 km = 480/x hr

Hence, time taken by the train to travel a distance of 480km with the speed (x-8) km/hr

= 480/( x-8) hr

It’s given that if the speed had been 8km/hr less, then the train would have taken 3 hours more for covering the same distance.

Hence, we can write

480/ (x-8) = 480/x +3

=> 480/(x-8) -480/x = 3

=> 480( x-x+8) /x(x-8) =3

=> 3x ( x-8) = 480*8

=> x^2 -8x -1280 =0

This is the required quadratic equation.

Hope it’s helpful........ ☆(❁‿❁)☆

Answer 2

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