Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 17)
17.
A train 800 metres long is running at a speed of 78 km/hr. If it crosses a tunnel in 1 minute, then the length of the tunnel (in meters) is:
130
360
500
540
Answer: Option
Explanation:

Speed = ( 78 x 5 ( m/sec = ( 65 ( m/sec.
18 3

Time = 1 minute = 60 seconds.

Let the length of the tunnel be x metres.

Then, ( 800 + x ( = 65
60 3

=> 3(800 + x) = 3900

=> x = 500.

Discussion:
52 comments Page 4 of 6.

Sampanna said:   1 decade ago
From where did that 5 upon 18 came.

Romon said:   1 decade ago
Train travels @78kmph.

So in 1 minute it goes 78km/60min = 1.3 km per minute or 1300mtr.

Then length of tunnel = (Total length - Length of the Train).

= 1300mtr - 800mtr.
= 500.

Ravitheja said:   1 decade ago
Speed of Train = 78kmph.

Speed of Train in Meters/Min =78000/60 = 1300 mpm.

Length of the tunnel be x, Speed = x+800 m/1 min.

There fore calculating for x, x+800/1 = 1300/1 = x = 500 m.

John said:   1 decade ago
Can I know from where did 5/18 came?

Izaan prince said:   1 decade ago
Let the speed of tunnel is x.

Length of train is = 800m

Speed of train is = 78km/hr.
Speed in m/s = 78*5/18

Time of crossing tunnel is 1min.
1 min is 60s.

We are finding the length of tunnel = ?
800+x = 78*5/18*60

x = 500

Harish said:   1 decade ago
@Pradnyashree.

If we do 3(800+x) = 60*65,
3*800+3x = 3900,
2400+3x = 3900,
3x = 3900-2400,
3x = 500.
x = 166.66 you are wrong.

Here 3x = 3900-2400 = 1500.

x = 500.

Smith said:   1 decade ago
Train speed 7800m/60m = 1300m.
Length of tunnel is 1300-800 = 500.
Its very simple.

Ramya said:   1 decade ago
78 is in kmph but answer is in meter so we should convert km to meter by 5/18 is the formula.

If you want to convert meter into km by 18/5.

Sumana said:   1 decade ago
Why we convert 78 meter into seconds?

Anusha said:   1 decade ago
@Kannika

We are adding train length to the tunnel length, because we have to consider the total length so we have to take this.


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