Roohi travels 300 km to her home partly by train and partly by bus. She takes 4 hours if she travels 60 km by train and the remaining by bus. If she travels 100 km by train and the remaining by bus, she takes 10 minutes longer. Find the speed of the train and the bus separately.
Answers & Comments
Let the speed of the train be x
and the speed of the bus be y
Case-1
Distance travelled by train =60 km
Distance travelled by bus=300-60=240
According to first condition
Case-2
Distance travelled by train=100km
Distance travelled by bus=200km
According to 2nd condition
Let 1/x be u and 1/y be v
So the equation is
Using elimination method
Therefore
Therefore speed of train is 80km/h and speed of bus is 60km/h