Problems on Trains MCQ Set 5

Showing question 21 to 25 of total 30 MCQs

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Question No: 21

A train overtakes two persons who are walking in the same direction in which the train is going, at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively. Find the length of train ?

1. 45 m
2. 50 m
3. 55 m
4. 60 m

Answer: B

Explanation

First person speed = 2 × (5/18) = 5/9 m/sec

Second person speed = 4 × (5/18) = 10/9 m/sec

Let the length of train is x meter and speed is y m/sec

then,

90y-9x=100.....(ii)

from (i) and (ii), we get,

x=50

So length of train is 50 meter

Question No: 22

A train is running with a speed of 60 kmph and its length is 110 metres. Calculate the time by which it will pass a man running opposite with speed of 6 kmph.

1. 2 second
2. 4 second
3. 6 second
4. 8 second

Answer: C

Explanation

From the given question,

we will first calculate the speed of train relative to man,

=> ( 60 + 6 ) = 66 km/hr ( we added 6 because man is running opposite )

Convert it in meter/second

Question No: 23

A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:

1. 45 km/hr
2. 50 km/hr
3. 54 km/hr
4. 55 km/hr

Answer: B

Explanation

= 45 km/hr.

Let the speed of the train be x km/hr. Then, relative speed = (x - 5) km/hr.

x - 5 = 45

x = 50 km/hr.

Question No: 24

A train runs across a post in 15 seconds and across a platform of length 100m in 25 seconds. Determine the length of this train:

1. A. 50 m
2. C. 200m
3. D. 130m
4. B. 150 m

Question No: 25

Two trains for Delhi leave Jaipur at 8:30 am and 9:00 am and travel at 60 km/hr and 75 km/hr respectively. How many km from Jaipur will the two trains meet?

1. 158 km
2. 150 km
3. 162 km
4. 148 km