Aptitude - Problems on Trains - Discussion

150 is the answer.

First of all, we convert speed into m/sec because time is in sec, so we can divide.
Speed * 5/18
Then we can calculate using the length formula i.e.., speed * time.
50/3 * 9 = 150m
So, the answer is 150m.

@All.

Here's my explanation:

1. You have to convert speed km/h into m/s.
And the formula to convert speed km/h into m/s is 60 x 5/18 (Note : 5/18 is a constant).
Speed = 16.67 m/s.

2. Distance = speed X time.
16.67 x 9 = 150m is the length of the train.

We are given speed as 60 km/h.
But we need the answer in meters per second (m/s).

1. First, we convert kilometres to metres:
1 km = 1000 meters.
So 60 km = 60 × 1000 = 60,000 meters.

2. Next, convert hours to seconds:
1 hour = 60 minutes
= 60 × 60 = 3600 seconds.

3. Now divide the distance by time:
60,000 ÷ 3600 = 16.666… ≈ 16.67 m/s.
then 16.6 x 9 = 150.

Then the final answer is 150 meters.

How come 5/18? Please explain.