Question

train travels 132 km at a uniform speed. If the speed of the

train 11 km/h more ,it would have taken 1 hour less for same

journey. Find the speed of the train.​

Answer 1

Answer:

Let the average speed of the passenger train be x km/hr.

Then the average speed of express train = (x+11)

Time taken by passenger train =

x

132

hr

Time taken by express train =

x+11

132

hr = (

x

132

−1)hr

⇒x

2

+11x−1452=0

⇒(x−33)(x+44)=0

⇒(x−33)=0 or (x+44)=0

⇒x=33 or x=−44

Speed can not be negative,

⇒x=33, x+11=44

Hence, the speed of passenger train =33 km/hr and the speed of express train =44 km/hr

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