Question
It takes eight hours for a 600 km journey, if 120 km is done by train and the rest by car . It takes 20 minutes more ,if 200 km is done by train and the rest by car . The ratio of the speed of the train to that of the car is :
Answer: Option C
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Let the speed of the train be `x` km/hr and hat of the car be y km/hr.
Then , `120/x + 480/y = 8 or 1/x + 4/y = 1/15`................................................(I)
And `200/x + 400/y = 25/3 or 1/x + 2/y = 1/24`.............................................(II)
Solving (I) and (II) , we get `x = 60 and y = 80`.
`:.` Ratio of speed = 60 : 80 = 3 : 4.
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