Question

a train travel a distance of 480 km at a uniform speed. if the speed had been 8km/hr more, then it would have taken 2 hours less to cover the same distance.the quadratic equation ​

Answer 1

Step-by-step explanation:

ANSWER

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

Time taken to travel a distance of 480km=

x

480

hr

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

x−8

480

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

∴

x−8

480

=

x

480

+3

⇒

x−8

480

−

x

480

=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⇒x

2

−8x−1280=0

This is the required quadratic equation.

Answer 2

Answer:

x^2-8x-1280=0

Step-by-step explanation:

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

Time taken to travel a distance of 480km=

x/480hr

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

∴

x−8/480 = x/480 +3

⇒ x−8/480− x/480 =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

⇒x^2−8x−1280=0

This is the required quadratic equation.

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