It takes 11 hours for a 600 km journey if 120 km is done by train and rest by car It takes 40 minute...........

Quantitative Aptitude (CDS) Time & distance

It takes 11 hours for a 600 km journey if 120 km is done by train and rest by car. It takes 40 minutes more if 200 km are covered by train and rest by car. What is the ratio of speed of the car to that of the train ?

3:2

2:3

3:4

4:3

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Explanation:

$\frac{120}{x}+\frac{480}{y}=660$
$\frac{200}{x}+\frac{400}{y}=700$
$\frac{1}{x}+\frac{4}{y}=\frac{33}{6}$
$\frac{1}{x}+\frac{2}{y}=\frac{7}{2}$
y=1km/min
=>y=60km/hr
x=40 km/hr
y : x = 3 : 2