Question

Represent the following situations in the form of quadratic equation:
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

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Answer 2

Step-by-step explanation:

original speed of the train is x km /h

in 2nd case,speed of train x-8km/h

We know that time=distance/speed

480/x=480/(x-8) +3

480/x -480/(x-8)=3

480{1/x -1/(x-8)}=3

{x-8-x}/(x)(x-8) =3/480

8/(x)(x-8)=1/160

8×160=x(x-8)

1240=x²-8x

x²-8x-1240=0

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