
We are given:
Speed of the train = 60 km/hr
Time to cross a pole = 9 seconds
We are to find the length of the train
🧠 Concept:
When a train crosses a pole, the distance covered = length of the train.
So,
Distance=Speed×Time\text{Distance} = \text{Speed} × \text{Time}
But we must ensure that the speed and time are in the same units.
🔄 Step 1: Convert speed to m/s
To convert km/h to m/s, multiply by 5/18:
60 km/hr=60×518=30018=16.67 m/s60 \text{ km/hr} = 60 × \frac{5}{18} = \frac{300}{18} = 16.67 \text{ m/s}
🔢 Step 2: Use the formula
Length of train=Speed×Time=16.67×9≈150 meters\text{Length of train} = \text{Speed} × \text{Time} = 16.67 × 9 ≈ 150 \text{ meters}
✅ Final Answer:
The length of the train is 150 meters.