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.
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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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