Class 10
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Quadratic Equations

# A train travels 360 km at a uniform speed. If the speed had been 5 km/h more, it would have taken 1 hour less for the same journey. Find the speed of the train. Answer

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Solution :
speed of train= xkm/hr <br> case 1:time taken = 360/x (1) <br> case 2 : speed of train = (x+5)km/hr <br> time= 360/(x+5) (2) <br> acc to question <br> 360/(x+5) = 360/x - 1 <br> 360x = 360x + 1800- x^2 -5x <br> x^2 +5x +1800= 0 <br> x^2+45x-40x - 1800=0 <br> x(x-40) + 45(x-40)=0  <br> (x-40)(x+45)=0 <br> x=-45 & 40 <br> speed cant be negative so, sped of train is 40km/hr <br> Image Solution

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