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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