Question

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Answer 1

Step-by-step explanation:

let the speed of passenger train be x km/ hr.

Then speed of express train be x+11 km/hour.

Time taken by the passenger train = 132/x hours.

Time taken by the express train = 132/x+11 hours.

According to the question

132/x -132/x+11 = 1 .

=> 132 (x +11 - x) / x²+ 11 x = 1

=>1452 = x²+ 11 x

=>x²+ 11 x - 1452 = 0

=>x²+ 44 x - 33 x - 1452 = 0

=> x ( x + 44 ) - 33 ( x + 44 ) = 0

=> (x - 33 ) ( x + 44 ) = 0

.: x = 33 or x = - 44 ( rejected )

Thus speed of the passenger train is 33 km / hour and that of express train = 44 km / hour.