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 respectively.

Let the speed of train be ‘a’ and speed of bus be ‘b’.


Speed = distance/time


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


------- (1)


Also,


------- (2)


Multiplying eq1 by 5 and eq2 by 3 and subtracting eq2 from eq1



b = 80 km/hr


Thus, 60/a + 3 = 4


a = 60 km/hr


11