Quadratic is a type of problem which deals with a variable multiplied by itself- an operation also known as squaring.
Solution:
Let the original speed of train be km/hr
When increased by , speed of the train
km/hr
Using, speed = distance/ time
Time taken by the train for original uniform speed to cover km
hr.
And, time taken by the train for increased speed to cover km
hr.
Given, that the difference in the times is mins. ⇒
hour
This can be expressed as below:
[by factorisation method]
or
Since, the speed of the train can never be negative is not considered.
Therefore, the original speed of train is km/hr.