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 31/2 miles long. The train is 1/4 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?
2.5 min
3 min
3.2 min
3.5 min
Answer: Option
Explanation:

Total distance covered
= ( 7 + 1 ( miles
2 4
= 15 miles.
4

Therefore Time taken
= ( 15 ( hrs
4 x 75
= 1 hrs
20
= ( 1 x 60 ( min.
20
= 3 min.

Discussion:
129 comments Page 11 of 13.

Bharath said:   7 years ago
The answer is C.

Sarang said:   7 years ago
Distance=speed * time.

3.1/2+1/4=75 m/h *time,
3.5+.25=75m/h*time,
3.75=75m/h *time,
3.75/75m/h=time,
Time=.05*60=3min.

GURAVAREDDY said:   7 years ago
Given data is D1=3(1/2), D2=1/4 S=75m/s.
respective length is (7/2+1/4)=15/4,
S=D/T.
75=(15/4)/T,
T=(15/4)/(1/75),
=15/4*75,
=1/20.

SO ITS IN SEC.
CONVERT INTO HRS.
= (1/20)*60.
= 3 MINS.

Nutan said:   7 years ago
7/2 + 1/4 = 15/4 how it comes? Please explain someone.

Shivshankar Nagarsoge said:   7 years ago
Here, consider only the head of the train. If the train is entering the tunnel, the head is at the entrance of the tunnel (obviously). After the train's head is reached at the end of the tunnel, it has covered a distance of the length of the tunnel. But we want the tail of the train to be at the end of the tunnel.

So, the train will have to move the distance equal to it's length. Now, it's clear that total distance=tunnel length+train length.

Manju Gangadhar said:   7 years ago
75mph.

Where mph is miles per hour. Then only the answer is correct. If it is meters per hour then the given answer is wrong.

Nidhi kumari said:   7 years ago
The total distance should be,
(7/2 +2(1/4)) = 4miles,
So the required time will be 3.2 second.

Shalinwilson said:   7 years ago
3.75 miles.
3.75/75=.05,
.05 * 60 = 30min,

miles = meters.

Abhi said:   7 years ago
Here, it is asked for the time the front enters the rare emerges. So we will have to Add 1/4 more to the length of the Train Right.

Himaja said:   7 years ago
Can anyone explain about 7/2 how did we get it?


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