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 3 of 6.

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.

Saikat said:   4 years ago
=> x+800/60 = 78 * 5/18,
=> x+800/60 = 65/3,
=> x+800 = 65 * 60/3,
=> x+800 = 1300,
=> x = 1300-800,
=> x = 500.
(1)

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.

Somil kumar bhadula said:   3 years ago
3(800+x) = 1900
2400+3x = 1900
3x = 2400-1900,
3x = 500.
I understand the thing. But where the 3x goes?

Can somebody tell me?

Narasimha said:   1 decade ago
Hi friends,

If tunnel is x metres

1 mint=60sec
800+x=78*(5/18)60

Solve this and get the ans

Length = Speed*Time

Naveen said:   6 years ago
X+800 = 78 * 5/18 * 60,
X+800 = 13*5/3 *60,
X+800 = 13*5*20,
X+800 = 65*20,
X+800 = 1300,
X = 1300-800,
X = 500.

Ramesh said:   1 decade ago
Speed of train: 78kn/hr=78*(5/18)=21.67m/sec
Distance=800m
Time=60sec
d=s*t
800+x=21.67*60
x=1300.2-800=500

Roobha said:   6 years ago
1km = 1000m,
1hr = 3600sec.

Convert,
Km/hr=m/sec.
= 1000/3600m/sec,
= 5/18m/sec.

ABDUL WAHAB SHAH said:   6 years ago
Last step:

3(800 + x) = 3900.
2400 + 3x = 3900.

3x = 3900 - 2400.
3x = 1500.

x = 1500/3.
x = 500.
(5)

Sarang said:   7 years ago
Distance =speed * time,
D=78km/h*1minute,
D=78*5/18*60.
D=78*.277*60.
D=21.6*60= 1300-800= 500.


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