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Question
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.
30 km/hr
40 km/hr
50 km/hr
60 km/hr
ANSWER : 2
Descrption
<p>Given distance=360 km. </p><p>Let the speed of the train be x km/hr.</p><p>Speed when increased by 5 km/hr =(x+5) km/hr</p><p>x360−(x+5)360=1</p><p>x(x+5)[360x+1800−360x]=1</p><p>x2+5x−1800=0</p><p>x2+45x−40x−1800=0</p><p>x(x+45)−40(x+45)=0</p><p>(x−40)(x+45)=0<br><br> </p><p>x=40,−45</p><p>The speed of the train is 40 km/hr.</p>
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