Get acquainted with the Concept of Two Trains Passes in the Same Direction better by going through the entire article. Refer to the Solved Problems on Two Trains running in the Same Direction along with Solutions for better understanding. Check out the Formulas for Speed Time and Distance while Two Trains Passes in the Same Direction. We have provided a detailed procedure on how to find the when Two Trains Passes a moving object in the Same Direction.
Two Trains Passes a Moving Object in the Same Direction
When two trains passes a moving object in the same direction.
Consider Length of the faster train be l meters and length of the slower train be m meters
The speed of the faster train be x km/hr
The speed of the slower train be y km/hr
Relative Speed = (x-y) km/hr
Time taken by the faster train to cross the slower train = (l+m) m/(x-y) km/hr
Solved Problems on Two Trains Running on Parallel Tracks in the Same Direction
1. Two trains 110 m and 150 m long are running on parallel tracks in the same direction with a speed of 60 km/hr and 45 km/hr. How long will it take to clear off each other from the moment they meet?
Solution:
Speed of faster train = 60 km/hr
Speed of slower train = 45 km/hr
Length of first train = 110 m
Length of second train = 150 m
Relative Speed = (60 km/hr – 45 km/hr)
= 15 km/hr
= 15*5/18 m/sec
= 4.16 m/sec
Time taken by train to clear off each other = Sum of Lengths of both the Trains/Relative Speed
= (110+150)m /4.16 m/sec
= 260 m/4.16 m/sec
= 62.5 sec
2. The two trains are running on parallel tracks in the same direction at 80 km/hr and 55 km/hr respectively. The faster train passes a man 20 seconds faster than the slower train. Find the length of the faster train?
Solution:
Relative Speed of Trains = (80 km/hr – 55 km/hr)
= 25 km/hr
Relative Speed of Trains in m/sec = 25*5/18
= 6.94 m/sec
Length of faster train = Relative Speed * Time Taken by Train to Pass
= 6.94 m/sec * 20 sec
= 138.8 m
3. Two trains are moving in the same direction at 70 km/hr and 40 km/hr. The faster train crossed a man in the slower train in 30 seconds. Find the length of the faster train?
Solution:
Speed of Faster Train = 70 km/hr
Speed of Slower Train = 40 km/hr
Relative Speed = (70 km/hr – 40 km/hr)
= 30 km/hr
Relative Speed in m/sec = 30 *5/18
= 8.33 m/sec
Time taken to cross = 30 sec
Length of faster train = Speed * Time
= 8.33 m/sec * 30 sec
= 250 m