Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Time, Speed and Distance

Question:

A train crosses a 600 metres long platform in 50 seconds. It crosses another 900 metres long platform in 60 seconds. What are the length and the speed of the train? (Assuming the train is going at constant speed)

Options:

900 metres, 96 km/h

900 metres, 108 km/h

600 metres, 108 km/h

700 metres, 96 km/h

Correct Answer:

900 metres, 108 km/h

Explanation:

We know ,

Speed = \(\frac{Distance }{Speed }\)

Let length of train = a meter

According to Question ,

\(\frac{600 + a }{50 }\) = \(\frac{900+a }{60 }\)

3600 + 6a = 4500 + 5a

a = 900

Speed = \(\frac{600 + 900}{50 }\) = 30 m/sec

30 m/sec = 30 × \(\frac{18 }{5 }\)   = 108 km/h

So , Length of train is 900m and Speed of train is 108 km/h