Two trains of equal length are running in the same direction on parallel tracks. The slower train travels at 58 km/hr and the faster train travels at 73 km/hr.
Since both trains move in the same direction, the relative speed determines how fast the faster train gains on the slower train.
Relative Speed =73−58=15 km/hr
The time is given in seconds and the answer is needed in meters, so the speed must be converted to m/s.
To convert km/hr to m/s, multiply by 185:
15×185
=1875
=625 m/s
When the faster train completely passes the slower train, it must cover the length of both trains. Since both trains have equal length L:
Total distance covered =L+L=2L
Using the relationship between distance, speed, and time:
2L=625×144
2L=625×144
2L=63600
2L=600
L=300 meters
Therefore, each train is 300 meters long.