Question

(iv) A train travels a distance of 480 km at a uniform speed. If the speed had been
8 km/h less, then it would have taken 3 hours more to cover the same distance. We
need to find the speed of the train.​

Answer 1

Step-by-step explanation:

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

Time taken to travel a distance of 480km=x480hr

Time taken by the train to travel a distance of 480km with the speed (x−8)km/hr=x−8480hr

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

∴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=0

This is the required quadratic equation.

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