Tool By Zeal Point

Type 15: Two Trains Moving Towards Each Other (Opposite Direction)

Q. Two trains of lengths 120 m and 80 m are moving towards each other at speeds of 40 km/h and 50 km/h, respectively. How much time will they take to completely cross each other ?

Formula:

$Time =$ $Length of Train 1 + Length of Train 2 / Relative Speed$

For opposite directions: $Relative Speed = V 1 +V 2$

Solution:

Train 1 length = 120 m
Train 2 length = 80 m

Train 1 speed = 40 km/h
Train 2 speed = 50 km/h

Total length: $120 + 80 = 200 m$

Relative speed: $40 + 50 = 90 km/h$

Convert into m/s: $90 \times 5/18 = 25 m/s$

Therefore, $T = 200/25 = 8 seconds$

Ans: 8 seconds

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Practice Set – Two Trains Moving in Opposite Directions

Q1. Two trains of lengths 100 m and 150 m are moving towards each other at 36 km/h and 54 km/h. How much time will they take to completely cross each other ?
A) 8 sec B) 10 sec C) 12 sec D) 15 sec

Q2. Two trains of lengths 120 m and 180 m are moving in opposite directions at 45 km/h and 63 km/h. Find the time taken to cross each other.
A) 8 sec B) 10 sec C) 12 sec D) 15 sec

Q3. Two trains of lengths 150 m and 250 m are moving towards each other at 54 km/h and 72 km/h. How much time will they take to cross each other ?
A) 10 sec B) 12 sec C) 14 sec D) 16 sec

Q4. Two trains of lengths 200 m and 100 m are moving in opposite directions at 54 km/h and 36 km/h. Find the crossing time.
A) 8 sec B) 10 sec C) 12 sec D) 15 sec

Q5. Two trains of lengths 240 m and 160 m are moving towards each other at 72 km/h and 54 km/h. How much time will they take to completely cross each other ?
A) 10 sec B) 12 sec C) 14 sec D) 16 sec