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Question

A train travels 360 km at a uniform speed. If the speed had been 5 km/hr more, it would have taken 1 hour less for the same journey. Form a quadratic equation to find the speed of the train.

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Solution

Consider the given question,

Distance =360 km

Speed =x km/hr

When speed is increase (x+5) km/hr

Given expression is written as,

360x360(x+5)=1

x+5xx(x+5)=1360

x2+5x=1800

x2+5x1800=0

x2+45x40x1800=0

x(x+45)40(x+45)=0

(x+45)(x40)=0

x=40,45

But, speed can not be negative.

Hence, speed is 40 km/hr


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