# It Takes Eight Hours for a 600 Km Journey. If 120 Km is Done by Train and the Rest by Car. It Takes 20 Min More If 200 Km is Done by Train and the Rest by Car. the Ratio of the Speed of the Train to - Mathematics

MCQ

It takes eight hours for a 600 km journey. if 120 km is done by train and the rest by car. It takes 20 min 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 cars is

• 2 : 3

• 3 : 2

• 3 : 4

• 4 : 3

#### Solution

3 : 4
Explanation:
Let the speeds of the train be x km/h and that of the car be y km/h.

Then, 120/x+480/y=8

⇒ 1/x+4/y=1/15                ...(i)

and 200/x+400/y=25/3

⇒ 1/x+2/y=1/24               ...(ii)

On solving Eqs. (i) and (ii), we get
x = 60 and y = 80
∴ Ratio of speeds = 60 : 80 = 3 : 4

Concept: Time, Distance and Speed(Entrance Exam)
Is there an error in this question or solution?