An express train takes 1 hour less than a passenger train to travel 132 km between Mysore and Bangalroe. if the average speed of the express train is 11 km/hr more than that of the passenger train, form the quadratic equation to find the average speed of express train.

Explanation

Let the speed of the passenger train be `x {km} / {hr}`. Then,

Speed of the express train `=(x+11) {km} / hr`

Time taken by the passenger train to cover `132 ~km` between Mysore to Bangalore `frac{132}{x} hr`

Time taken by the express train to cover `132 ~km` between Mysore to Bangalore `=frac{132}{x+11} hr`

Therefore,

`frac{132}{x}-frac{132}{x+11}=1`

`frac{132(x+11)-132 x}{x(x+11)}=1`

`frac{132 x+1452-132 x}{x^{2}+11}=1`

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