Question

An express train takes 1 hr less than a passenger train to travel 132 km between Mysore and Bangaluru. If the average speed of the express train is 11 km / hr more than that of a passenger train. Then find the ratio of the speed of the two trains.​

Answer 1

Answer:

Speed of passenger train = 33 km/hr, speed of express train = 44 km/hr

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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Answer 2

Answer:

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