Question

train travels a distance of 480 km at a uniform speed if the speed had been 8 km per hour less then it would have taken 3 hours more to cover the same distance what is the speed of the train?

solve by quadratic equation of one variable​

Answer 1

Answer:

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

Time taken to travel a distance of 480km= 480/x hr

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

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

∴ 480/x-8 = 480/x+3

⇒ 480/x-8 − 480/x =3

⇒ 480(x−x+8)/x(x-8) =3

⇒ 480*8/x(x−8) =3

⇒3x(x−8)=480×8⇒x(x−8)=160×8

⇒x^2 −8x−1280=0

This is the required quadratic equation.

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