Two trains of equal length are running from the same origin on parallel tracks in the same direction, at the speeds of 58 km/hr and 73 km/hr, respectively. The faster train passes the other train in 144 seconds. What is the length (in meters) of each train?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 300 m
When two trains move in the same direction, the faster one gains on the slower at the difference of their speeds (the relative speed). To pass it fully, it must gain the length of both trains.
Relative speed \(=73-58=15\) km/h \(\displaystyle =15\times\frac{5}{18}=\frac{25}{6}\) m/s
Distance gained in 144 s \(\displaystyle =\frac{25}{6}\times144=600\) m
This is the length of the two equal trains together, so each train is \(600\div2=300\) m