Q6 of 65 Page 4

Let us construct the quadratic equations in one variable from the following statements.

The distance between two stations is 300 km. A train went to second station from first station with uniform velocity. If the velocity of the train is 5 km/hour more, then the time taken by the train to reach the second station would be lesser by 2 hours.

As we know that ,

distance = speed × time


Let speed of train be v.


Therefore,


300 = v × time



According to question,


if velocity is increased by 5 then time is decreased by 2.


As, distance = speed × time


So,






Hence the required quadratic equation is


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