Aptitude - Problems on Trains - Discussion

Discussion Forum : Problems on Trains - General Questions (Q.No. 22)
22.
Two goods train each 500 m long, are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one.
12 sec
24 sec
48 sec
60 sec
Answer: Option
Explanation:

Relative speed = = (45 + 30) km/hr
= ( 75 x 5 ( m/sec
18
= ( 125 ( m/sec.
6

We have to find the time taken by the slower train to pass the DRIVER of the faster train and not the complete train.

So, distance covered = Length of the slower train.

Therefore, Distance covered = 500 m.

Therefore Required time = ( 500 x 6 ( = 24 sec.
125

Discussion:
81 comments Page 2 of 9.

Kush said:   4 years ago
What length we should consider if it is asked for faster train?
(1)

Sujee said:   4 years ago
Why do we take 500 instead of 1000?

Please anyone explain me.
(1)

Destello said:   3 years ago
Simple:
Opposite direction (ADD the speed).

45 + 30 = 75 "answer asked in sec then convert it by multiplying 5/18 to 75".

Speed is 125/6 m/sec.
Now distance travelled by each train is its own distance and other train distance,
i.e. 500+500 =1000.
We have speed and distance use the time formula.
T = D/S.
= 1000 * 6/25.
(1)

Hemanath said:   8 years ago
How to convert into min? Please tell me.

Raju said:   8 years ago
How 125÷6 came in this problem? Please explain.

Nanda Kishor said:   8 years ago
@Raju.

In this problem, the relative speed is 75km/hr.
And to find the answer we have to convert the speed into m/s. So(75*5/18= 125/6m/s).
Hope that this will help you.

Ganda said:   8 years ago
Here answer should be 48 explain it with given example let the speed of the first train be 4m/s and second be 1m/s and length of trains be 5/5 m then you should make number line and get two seconds so we must add 5+5 10m and divides by 5m/ (1+4).

Pallavi said:   8 years ago
How 5/18 coming in the problem?

Pallavi said:   8 years ago
The answer is simple. We are converting the 'kilo-meters/hour' value into 'meters/second'.

Let me explain about converting km/hr into m/s in detail.

1 km = 1000 meters.
1 hr = 3600 seconds.
1 km/hr = 1000/3600 m/s
= 10/36 m/s
= 5/18 m/s.

Therefore 1 km/hr = 5/18 m/sec.

Sarang said:   7 years ago
Distance =speed * time,
500=45+30km/h*time,
500=75*5/18*time,
500=75*.277*time,
500=20.7*time,
Time=500/20.7=24s.


Post your comments here:

Your comments will be displayed after verification.