Aptitude - Problems on Trains - Discussion

The train is running at 60 km per hour and it crosses the poll in 9 seconds to calculate the length of the train the formula is length = speed * time
let's calculate;

60 km = 60000 m.
60 min = 60 * 60 = 3600 sec,
let's calculate speed per second:
60000/ 3600 = 16.666666 = 16.666666 m/s.

In one second train covered the 16.666666 m.
so the train crossed the poll in 9 second.
so;
16.666666 * 9 = 150.

Thanks everyone for explaining the answer clearly.

60 * (5/18) = 50/3.
Speed = Distance/ Time.
Distance = Speed * Time = (50/3) * 9,
= 150 m.

Thanks all for explaining the answer.

Here, 60km/h = 60 * 1000/3600 m/s.

Here, how did you get the 50? Anyone, please explain to me.

To solve this question, you can use the formula:

Length of train = (Speed of train * Time taken to cross the pole).

Given:

Speed of train = 60 km/hr.
Time taken to cross the pole = 9 seconds.

First, convert the speed from km/hr to m/s.
60 km/hr = 60*(5/18) = 50/3 m/s.

Now, plug the values into the formula:
Length of train = (50/3 * 9).
Length of train = 150 meters.
Therefore, the length of the train is 150 meters.

if the start line and finish line are same then the time it will take to cross the line is equal to (the length of the vehicle/speed of the vehicle) that crossed the line.

The train took 9 seconds to cross the same line. It is travelling at the speed of 60 km/hr.

60 km/hr means "it took an hour to travel 60 kms."
60 km/hr = 60 km/1 hr.
= 60,000 m/60 mins.
= 60,000 m/3600 sec.
= 600 m/36 sec.
= 50 m/3 sec = 50/3 m/s.

Let length be (l)

Time taken = length/Speed.
9 sec = (l)metres/(50/3)m/s.
(l) Metres = 9 sec * (50/3) m/s.
(l) = 450/3 metres.
(l) = 150 metres.

The length of the train is 150 metres.

Thanks all for giving a clear explanation.

60km/hr = 5/18 * 60 m/s = 50/3 m/s.
50m/s means 50 metres for 3 seconds,
Then for 9 seconds - 150 metres.