Two trains are running with speed 30 km/hr and 58 km/hr in the same direction,…

Step-by-Step Solution

To find the length of the faster train, we need to calculate the distance covered by the faster train relative to the man in the slower train over the given time.

1. Calculate the relative speed:

   • Since the trains are moving in the same direction, the relative speed is the difference between their speeds.

   • Relative speed = 58 km/hr - 30 km/hr = 28 km/hr.

2. Convert relative speed to meters per second (m/s):

   • To convert km/hr to m/s, multiply by 5/18.

   • Relative speed = 28 * (5/18) m/s = 140/18 m/s = 70/9 m/s.

3. Calculate the length of the faster train:

   • The man in the slower train passes the faster train in 18 seconds. This is equivalent to the faster train covering its own length relative to the man in 18 seconds.

   • Length of faster train = Relative speed * Time

   • Length = (70/9) * 18

   • Length = 70 * 2 = 140 meters.