Question

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


​

Answer 1

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

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refer to the attachment

hope it helps ❤