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:
130 comments Page 6 of 13.

Umakant said:   1 decade ago
Answer is 3.2, because Train length=1/4 mile,Tunnel=3.5 i.e 7/2 mile, When train enter in to the tunnel Time need to start till last rear end come out from the tunnel.
that's why 7/2+1/4+1/4=16/4= 4 miles.

Time stop[ end 7/2 tnl start ](Time start)
1/4 Srt<-------End
Start<---------End.
this above figure shows "3 min",but we need to count till rare end of train.
I hope u understand.

Karthiga said:   1 decade ago
I can't understand how the total distance calculated.

Aneesh said:   1 decade ago
Hey guys anyone clearly say how does the value 7/2 came?

GSC said:   1 decade ago
Its 7/2 + 1/4 + 1/4 miles as the distance of the train has to be counted twice (in the question it says, the rear has to come out). That makes it 3.2 mins.

Aman said:   1 decade ago
Total distance = 4 miles.

Time = 3.2 mins.

Akshay said:   1 decade ago
Everyone saying that the length of the train has to be added twice is right because really we are asked about the moment REAR EMERGES, not THE FRONT.

Arunkumar said:   1 decade ago
Hi,

Resolving the fractions here is 7/2 + 1/4 is equal to 15/4, how

Since (x/y+a/b) is (x*b/y*b) + (y*a/y*b) = (x*b + y*a)/y*b

Therefore

(7/2 + 1/4 )=> (7*4/2*4) + (2*1/2*4)=> (28/8 + 2/8)=> (30/8)=> 15/4.

Vivek said:   1 decade ago
How can do it (15/4*75) hrs,
Because 15/4 unit-mils.
and
75 unit-mph.

Then how can possible (15/4*75)hrs?

Swetha said:   1 decade ago
Hi @Arun kumar. This method is so confusing can you please tell me other method to convert into 15/4.

Subhankar said:   1 decade ago
Here the speed given in metre/hr and distance given in mile then how it possible to evaluate time without converting length in same unit.


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