Aptitude - Problems on Trains - Discussion
Discussion Forum : Problems on Trains - General Questions (Q.No. 16)
16.
A train travelling at a speed of 75 mph enters a tunnel 3
miles long. The train is
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?


Answer: Option
Explanation:
Total distance covered |
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= 3 min. |
Discussion:
129 comments Page 3 of 13.
Neeraja said:
5 years ago
Actually, whenever a train crosses platform we are considering the length of train+length of the platform, similarly, in this case, we consider the length of tunnel+length of train i.e7/2+1/4.
Hazel said:
5 years ago
Why in this sum we didn't change speed kmph into m/sec?
Manoj Papineni said:
5 years ago
Guys 1mile = 1.6km.
For train speed:
So 75mph = 75*1.6 = 120kmph.
For tunnel length and train length:
7/2miles*1.6=5.6km and 1/4miles*1.6=0.4km.
So total distance=5.6+0.4=6km.
Now to calculate the time we have the formulae is t=d/s.
Lets convert all data into metres.
So 6km*1000=6000m.
Speed=120*5/18 m/sec=100/3 m/sec.
So t=6000/100/3 which is equal to 18000/100=180seconds.
So to convert seconds into minutes is(1min=60sec) 180/60=3min.
Try to understand because it's too long.
For train speed:
So 75mph = 75*1.6 = 120kmph.
For tunnel length and train length:
7/2miles*1.6=5.6km and 1/4miles*1.6=0.4km.
So total distance=5.6+0.4=6km.
Now to calculate the time we have the formulae is t=d/s.
Lets convert all data into metres.
So 6km*1000=6000m.
Speed=120*5/18 m/sec=100/3 m/sec.
So t=6000/100/3 which is equal to 18000/100=180seconds.
So to convert seconds into minutes is(1min=60sec) 180/60=3min.
Try to understand because it's too long.
Mahedi bipul said:
6 years ago
mph means mile per hour or metres per hour?
Which one is correct?
Which one is correct?
Naren said:
6 years ago
Hey guys, don't much obsessed with it. It's quite simple as it is.
1 mile=1.609 km.
Distance travelled by train = (7/2+1/4) only.
For easy understanding.
Assume that you are standing at the tunnel starting end with a stopwatch and now the train is coming and (note that in the question he said that from the front end entres) that means when the engine comes to the position where you are standing then you start the stopwatch from that point, the train goes on goes on and after some time the engine part reaches to the exit end of the tunnel and (note that in the question he said time should be calculated till the rear emerges) so don't stop the stopwatch let the train go and the strain is going going going and after some time the last bhogi (last part) of the train left the tunnel then you need to stop the stopwatch.
Then note the time. So that time is only required.
Observe carefully in this entire process the train is travelling only the tunnel length and its own length.
And coming to question.
The question is error instead of metres he has given miles.
So don't bother much about this.
If you guys have any doubt about the above explanation just take a pen and paper and draw a line and observe the above explanation. Then You guys get that.
I hope you understand.
Have a nice day.
1 mile=1.609 km.
Distance travelled by train = (7/2+1/4) only.
For easy understanding.
Assume that you are standing at the tunnel starting end with a stopwatch and now the train is coming and (note that in the question he said that from the front end entres) that means when the engine comes to the position where you are standing then you start the stopwatch from that point, the train goes on goes on and after some time the engine part reaches to the exit end of the tunnel and (note that in the question he said time should be calculated till the rear emerges) so don't stop the stopwatch let the train go and the strain is going going going and after some time the last bhogi (last part) of the train left the tunnel then you need to stop the stopwatch.
Then note the time. So that time is only required.
Observe carefully in this entire process the train is travelling only the tunnel length and its own length.
And coming to question.
The question is error instead of metres he has given miles.
So don't bother much about this.
If you guys have any doubt about the above explanation just take a pen and paper and draw a line and observe the above explanation. Then You guys get that.
I hope you understand.
Have a nice day.
(3)
Akshay Agrawal said:
6 years ago
15/4.
(7/2 +1/4) = let take hcm of this i.e. 4.
Then, (7*2/4 +1/4),
(14+1/4)=15/4.
(7/2 +1/4) = let take hcm of this i.e. 4.
Then, (7*2/4 +1/4),
(14+1/4)=15/4.
Satya said:
6 years ago
Yeah, We have to convert the mile to km.
Mani Prasath said:
7 years ago
How it's comes 15/4?
Please explain.
Please explain.
Ajit said:
7 years ago
Because 75mph that means 75 miles per hour, not metres.
Siddhant said:
7 years ago
@All.
Assume that there's a platform of length 7/2 miles and train of length 1/4 miles.
So now we just have to calculate the time taken by train to pass the platform.
Hence total distance = 15/4 miles.
No need to add 1/4 twice.
Hope you will understand.
Assume that there's a platform of length 7/2 miles and train of length 1/4 miles.
So now we just have to calculate the time taken by train to pass the platform.
Hence total distance = 15/4 miles.
No need to add 1/4 twice.
Hope you will understand.
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