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A train A which is 120m long is running with velocity 20m/s while train B which is 130m long is running in opposite direction with velocity 30m/s. What is the time taken by train B to cross the train A?
- a)5 s
- b)25 s
- c)10 s
- d)100 s
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A train A which is 120m long is running with velocity 20m/s while trai...
Length of train A = 120m
Velocity of train A, vA = 20m/s
Length of train B = 130m
Velocity of train B, vB = 30m/s
Relative velocity of B w.r.t. A = vB + vA = 50m/s
(trains move in opposite directions)
Total path length to be covered by B = 130 + 120 = 250m
Velocity of train A, vA = 20m/s
Length of train B = 130m
Velocity of train B, vB = 30m/s
Relative velocity of B w.r.t. A = vB + vA = 50m/s
(trains move in opposite directions)
Total path length to be covered by B = 130 + 120 = 250m
∴ Time taken by train B = 250 m/50m/s = 5 s
Most Upvoted Answer
A train A which is 120m long is running with velocity 20m/s while trai...
Understanding the Problem
To find the time taken by train B to completely cross train A, we need to consider both the lengths of the trains and their relative velocities.
Key Information
- Length of Train A: 120 m
- Length of Train B: 130 m
- Velocity of Train A: 20 m/s
- Velocity of Train B: 30 m/s
Relative Velocity Calculation
When two objects move in opposite directions, their relative velocity is the sum of their speeds.
- Relative Velocity = Velocity of Train A + Velocity of Train B
- Relative Velocity = 20 m/s + 30 m/s = 50 m/s
Total Distance to Cross
To find the total distance that train B needs to cover to completely cross train A, we add their lengths:
- Total Distance = Length of Train A + Length of Train B
- Total Distance = 120 m + 130 m = 250 m
Time Calculation
Using the formula for time, which is:
- Time = Total Distance / Relative Velocity
We can substitute the values:
- Time = 250 m / 50 m/s = 5 s
Conclusion
The time taken by train B to completely cross train A is 5 seconds.
Thus, the correct answer is option 'A'.
To find the time taken by train B to completely cross train A, we need to consider both the lengths of the trains and their relative velocities.
Key Information
- Length of Train A: 120 m
- Length of Train B: 130 m
- Velocity of Train A: 20 m/s
- Velocity of Train B: 30 m/s
Relative Velocity Calculation
When two objects move in opposite directions, their relative velocity is the sum of their speeds.
- Relative Velocity = Velocity of Train A + Velocity of Train B
- Relative Velocity = 20 m/s + 30 m/s = 50 m/s
Total Distance to Cross
To find the total distance that train B needs to cover to completely cross train A, we add their lengths:
- Total Distance = Length of Train A + Length of Train B
- Total Distance = 120 m + 130 m = 250 m
Time Calculation
Using the formula for time, which is:
- Time = Total Distance / Relative Velocity
We can substitute the values:
- Time = 250 m / 50 m/s = 5 s
Conclusion
The time taken by train B to completely cross train A is 5 seconds.
Thus, the correct answer is option 'A'.
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A train A which is 120m long is running with velocity 20m/s while train B which is 130m long is running in opposite direction with velocity 30m/s. What is the time taken by train B to cross the train A?a)5 sb)25 sc)10 sd)100 sCorrect answer is option 'A'. Can you explain this answer? for NEET 2026 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A train A which is 120m long is running with velocity 20m/s while train B which is 130m long is running in opposite direction with velocity 30m/s. What is the time taken by train B to cross the train A?a)5 sb)25 sc)10 sd)100 sCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for NEET 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train A which is 120m long is running with velocity 20m/s while train B which is 130m long is running in opposite direction with velocity 30m/s. What is the time taken by train B to cross the train A?a)5 sb)25 sc)10 sd)100 sCorrect answer is option 'A'. Can you explain this answer?.
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