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 1 of 9.

Shameel said:   1 year ago
The answer is 48sec since to cross the driver of the faster train you have to travel the length of the faster train plus the length of the slower train since the driver of the faster train will be sitting at the front of the train.

So.

Relative speed = 45 + 30 = 75kmph.
Converting to m/s = 75 * 5/18 = 125/6 m/s.
Time taken = (500 + 500) * 6/125 = 48 sec.
(9)

Vaidya said:   5 years ago
Answer should be 48.
(7)

Harshal said:   7 months ago
I think the right answer is 48 sec.
(4)

Thinley Norbu said:   4 years ago
@Pinku.

i.e 24sec. Isn't it logical?

If faster train crosses slower train in 24 sec. Do you think the slower train is still not done crossing? Whether a faster train crosses a slower train same time is taken for the slower train to cross a faster train. Because they are crossing each other. If the faster train is done crossing the slower train. Then it means the slower train is also done crossing. These are the logical and physical reality. Especially a same length train or object moving in the opposite direction.
(3)

Ddv said:   9 months ago
Yes, the right answer is 48 sec.
(2)

Dhanraj said:   6 years ago
No, it is not 48 sec, Check It's mentioned to find the time to cross the fast train driver, so consider this as point or pole example and solve using the length of a single train.
(2)

Karma said:   5 years ago
Won't the driver be facing each other at the start? Hence time taken is 0. They are already facing each other or at the same spot at start of the problem.
(2)

Adityabala said:   1 decade ago
Hi, Chandana asked why don't we add the length of the train. Well this is a common doubt everybody gets .

Now you think, both are travelling in opposite direction.

Eg:

Train1 --------------> Fastest train

<---------------Train2. Slowest train

When this is the case the train1 and train2 travel with their respective speed. There will be no collision rigth because they travel in opposite direction. So we take only one length of the train that too the train we respect to .ie here we take the slower train which is 500 mts length.

Hope you got it. Have a nice day!
(1)

Muqeet said:   6 years ago
Here it states to cross the driver, not cross the train.

So, please explain in detail.
(1)

Sahil said:   5 years ago
Can someone explain why they reversed the distance in the final calculation (i.e 125/6 to 6/125)?
(1)


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