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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.
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