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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