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Question 63
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car. He takes 20 minutes more, if 200 km is done by the train and the rest by car .The ratio Speed of the train to that of the car is
Solution
Let speed of train and car is 'x' and 'y' respectively.
According to the quetsion:
$$\frac{120}{x} + \frac{480}{y} = 8$$ .......... (1)
$$\frac{200}{x} + \frac{400}{y} = 8 + \frac{20}{60} = \frac{25}{3}$$ .......... (2)
From (1) and (2):
x = 60 and y = 80
Required ratio = x: y = 60: 80 = 3: 4
