Question

A train travelling from Bangalore to Mysore takes 3 hours to reach Mysore. The train can reach a maximum speed of 50 km/hr. Given below in the table are some details of the train journey.

Answer 1

Answer:

Let x km per hour be the average speed of the passenger train, then the average speed of the express train will be (x+11) km per hour.

The time taken by the passenger train is

x

132

hour and the time taken by the express train is

(x+11)

132

hour. So,

x+11

132

=

x

132

+1

x

2

+11x−1452=0

x

2

+44x−33x−1452=0

(x−33)(x+44)=0

x=33,x=−44

The speed cannot be negative, so the speed of the passenger train is 33 km per hour and the speed of the express train is 33+11=44 km per hour