Here we will learn about the concept of two trains passes in the opposite direction.
When two train passes a moving object (having some length) in the opposite direction
Let length of faster train be l meters and length of slower train be m meters
Let the speed of faster train be x km/hr
Relative speed = (x + y) km/hr.
Then, time taken by the faster
train to pass the slower train = (l
+ m) meters/(x + y) km/hr
Now we will learn to calculate when two trains running on parallel tracks (having some length) in the opposite direction.
Solved examples when two trains passes (having some length) in the opposite direction:
1. Two trains of length 150 m and 170 m respectively are running at the speed of 40 km/hr and 32 km/hr on parallel tracks in opposite directions. In what time will they cross each other?
Solution:
Relative speed of train = (40 + 32) km/hr
= 72 km/hr
= 72 × 5/18 m/sec
= 20 m/sec
Time taken by the two trains to cross each other = sum of length of trains/relative speed of trains
= (150 + 170)/20 sec
= 320/20 sec
= 16 sec
Therefore, the two trains crossed each other in 16 seconds.
2. Two trains 163 m and 187 m long are running on parallel tracks in the opposite directions with a speed of 47 km/hr and 43 km/hr in. How long will it take to cross each other?
Solution:
Relative speed of train = (47 + 43) km/hr
= 90 km/hr
= 90 × 5/18 m/sec
= 25 m/sec
Time taken by the two trains to cross each other = sum of length of trains/relative speed of trains
= (163 + 187)/25 sec
= 350/25 sec
= 14 sec
Therefore, the two trains crossed each other in 14 seconds.
Relationship between Speed, Distance and Time
Problems on Calculating Distance
Two Objects Move in Same Direction
Two Objects Move in Opposite Direction
Train Passes a Moving Object in the Same Direction
Train Passes a Moving Object in the Opposite Direction
Two Trains Passes in the Same Direction
Two Trains Passes in the Opposite Direction
8th Grade Math Practice
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