Answer :

Let the speed of the train be x km/h and that of the car be y km/h

Also, we know that time =


In situation 1, time spent travelling by train = h


And time spent travelling by car = h


So, total time taken in 8hour journey is


=


…I


Again, when he travels 200km by train and rest by car


Time taken by him travel 200km by train = h


And time spent travelling by car = h


Total time taken =


But given time of journey is 8hrs 20 min i.e = h


So, …II


Let = a and = b


30a + 120b = 2 …III


200a + 400b = …IV


Multiply Eq. III by 20 and Eq. IV by 3


600a + 2400b = 40


600a + 1200b = 25


_- - - _


1200b = 15


b =


substitute value of b in Eq. III


30a + 120 × = 2


a =


but, x = 60


y = 80


Speed of train = 60 km/h


Speed of car = 80 km/h


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