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. What is the ratio of the speed of the train to that of the car?
Select:
A) 3:4
B) 3:0
C) 3:8
D) 3:2
E) 3:1
Let speed of the train = x kmph and speed of the car = y kmph   Time needed for traveling 600 km if 120 km by train and the rest by car = 8 hr   ⇒120x+(600−120)y=8⇒120x+480y=8.............(Equation 1)⇒15x+60y=1.............(Equation 1)   Time needed for traveling 600 km if 200 km by train and the rest by car = 8 hr 20 min   ⇒200x+(600−200)y=82060=813=253⇒200x+400y=253⇒8x+16y=13⇒24x+48y=1.............(Equation 2)Solving Equation1 and Equation2Here Equation1 = Equation2 = 1⇒15x+60y=24x+48y⇒12y=9x⇒4y=3x⇒xy=34⇒x:y=3:4   3:4nswer : 3:4
<result>A</result>
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. What is the ratio of the speed of the train to that of the car?