To find the length of a superfast express train running at 84 km/h that overtakes a bike running at 30 km/h in 24 seconds, follow these steps:
- Calculate the relative speed (since both are moving in the same direction, subtract the bike's speed from the train's speed):
84 km/h−30 km/h=54 km/h84\text{ km/h}-30\text{ km/h}=54\text{ km/h}84 km/h−30 km/h=54 km/h
- Convert the relative speed to meters per second :
54×10003600=15 m/s54\times \frac{1000}{3600}=15\text{ m/s}54×36001000=15 m/s
- Calculate the length of the train (distance covered by the train relative to the bike during overtaking):
Length=Relative speed×Time=15 m/s×24 s=360 meters\text{Length}=\text{Relative speed}\times \text{Time}=15\text{ m/s}\times 24\text{ s}=360\text{ meters}Length=Relative speed×Time=15 m/s×24 s=360 meters
Answer: The length of the train is 360 meters.
