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Question

A train travels a distance of 480km at a uniform speed. If the speed had been 8km/hr less, then it would have taken 3 hours more to cover the same distance. Formulate the quadratic equation in terms of the speed of the train.

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Solution

Let the speed of the train be x km/hr. Then
Time taken to travel a distance of 480km=480xhr
Time taken by the train to travel a distance of 480km with the speed (x8)km/hr=480x8hr

It is given that if the speed had been 8km/hr less, then the train would have taken 3 hours more to cover the same distance

480x8=480x+3

480x8480x=3480(xx+8)x(x8)=3480×8x(x8)=3

3x(x8)=480×8x(x8)=160×8x28x1280=0

This is the required quadratic equation.

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