Two trains of equal length , running in opposite directions , pass a pole in 18

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Question
Two trains of equal length , running in opposite directions , pass a pole in 18 and 12 seconds. The trains will cross each other in
Options
A. 14.4 sec
B. 15.5 sec
C. 18.8 sec
D. 20.2 sec

Correct Answer

14.4 sec

Explanation

Let the length of the train be L metres

Speed of first train = $\frac{3600}{18} x L$ m/hour

Speed of secxond train = $\frac{3600}{12} x L$ m/hour

When running in opposite directions, relative speed = 200 L + 300 L m/hour

Distance to be covered = L + L = 2L metre

Time taken = $\frac{2 L}{500 L} x 3600$ sec

=14.4 sec

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Problems on Trains

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1. Two stations P and Q are 110 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet?
Options
A. 10.30
B. 10
C. 8.45
D. 9.30

2. A train moves with a speed of 108 kmph. Its speed in metres per second is :
Options
A. 10.8
B. 18
C. 30
D. 38.8

4. Two trains are running in opposite directions in the same speed. The length of each train is 120 meter. If they cross each other in 12 seconds, the speed of each train (in km/hr) is
Options
A. 42
B. 36
C. 28
D. 20

5. Two cogged wheels of which one has 32 cogs and other 54 cogs, work into each other. If the latter turns 80 times in three quarters of a minute, how often does the other turn in 8 seconds?
Options
A. 48
B. 24
C. 38
D. 36

6. A train travelling at a speed of 75 mph enters a tunnel 312 miles long. The train is 14 mile long. How long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
Options
A. 2.5 min
B. 3 min
C. 3.2 min
D. 3.5 min

8. A train is moving and crossing a man who is running on a platform of 100 m at a speed of 8 kmph in the direction of the train, in 9 sec. If the speed of the train is 74 kmph. Find the length of the train ?
Options
A. 202 mts
B. 188 mts
C. 165 mts
D. 156 mts

9. Two trains having equal lengths, take 10 seconds and 15 seconds respectively to cross a post. If the length of each train is 120 meters, in what time (in seconds) will they cross each other when traveling in opposite direction?
Options
A. 10
B. 25
C. 12
D. 20

10. A 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train ?
Options
A. 230 m
B. 240 m
C. 260 m
D. 320 m

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