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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Filo · Accepted Answer

Let the speed of the train be x km/hr. ThenTime taken to travel a distance of 480km=x480​hrTime taken by the train to travel a distance of 480km with the speed (x−8)km/hr=x−8480​hrIt 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∴x−8480​=x480​+3⇒x−8480​−x480​=3⇒x(x−8)480(x−x+8)​=3⇒x(x−8)480×8​=3⇒3x(x−8)=480×8⇒x(x−8)=160×8⇒x2−8x−1280=0This is the required quadratic equation.

Question Text	A train travels a distance of $480 km$ at a uniform speed. If the speed had been $8 km / h r$ 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.
Answer Type	Text solution:1
Upvotes	151

A train travels a distance of $480 km$ at a uniform speed. If the speed had been $8 km / h r$ 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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