Given:
Speed of the train = 60 km/hr
Time is taken by a train of crossing a pole = 30 seconds
Concept used:
The distance travelled by train will be its length.
Formula used:
Distance = speed × time
1 km = 1000 metre
And 1 hour = 3600 seconds
Calculation:
Length of the train = 60 km/hr × 30 seconds
⇒ [(60 × 1000)/3600] × 30
⇒ (600 / 36) * 30
⇒ 500 meters
∴ The length of the train is 500 metres.
Alternate Method
Formula used:
Distance = speed × time
If we convert ‘km/hr’ in ‘m/s’ then we multiply ‘km/hr’ by (5/18)
Calculation:
Length of the train = 60 km/hr × 30 seconds
⇒ 60 × (5/18) × 30
⇒ (60 × 5 × 30)/18
⇒ 500 meters
∴ The length of the train is 500 meters.
Additional Information
If we convert ‘m/s’ in ‘km/hr’, then multiply ‘m/s’ by (18/5)
For example:
20 m/s = 20 × (18/5)
⇒ 20 m/s = 72 km/hr