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Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in:
- a)14.4 seconds
- b)15.5 seconds
- c)18.8 seconds
- d)20.2 seconds
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two trains of equal length, running in opposite directions, pass a po...
Let the length of each train be x meters.
Then, speed of 1st train = x/18 m/sec
Speed of 2nd train = x/12 m/sec
Now,
When both trains cross each other, time taken
= 14.4 seconds
Hence, the correct option is (A).
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Community Answer
Two trains of equal length, running in opposite directions, pass a po...
Given information:
- Two trains of equal length are running in opposite directions.
- The first train passes a pole in 18 seconds.
- The second train passes the same pole in 12 seconds.
To find:
The time it takes for the two trains to cross each other.
Approach:
- Let's assume the length of each train is 'L' units.
- The relative speed of the two trains is the sum of their individual speeds.
- We need to find the time it takes for the two trains to cover the combined length of the two trains.
Calculation:
1. Let the speed of the first train be 'v1' units/second, and the speed of the second train be 'v2' units/second.
2. The time taken by the first train to cross the pole is 18 seconds.
- Therefore, the distance covered by the first train in 18 seconds = 18v1 (distance = speed × time)
- So, the length of the first train = 18v1
3. Similarly, the length of the second train = 12v2
4. The combined length of the two trains = 18v1 + 12v2
5. Now, we need to find the time it takes for the two trains to cross each other.
- The relative speed of the two trains = v1 + v2
- Time = distance / speed
- Time = (18v1 + 12v2) / (v1 + v2)
6. Since the two trains are of equal length, we have:
- 18v1 = 12v2
- v2 = (18v1) / 12 = 3v1 / 2
7. Substitute the value of v2 in the formula for time:
- Time = (18v1 + 12(3v1/2)) / (v1 + 3v1/2)
- Time = (18v1 + 18v1) / (v1 + 3v1/2)
- Time = 36v1 / (v1 + 3v1/2)
- Time = 36v1 / (3v1/2 + 2v1/2)
- Time = 36v1 / (5v1/2)
- Time = 72 / 5 seconds
- Time = 14.4 seconds
Conclusion:
The two trains will cross each other in 14.4 seconds, which is option 'A'.
- Two trains of equal length are running in opposite directions.
- The first train passes a pole in 18 seconds.
- The second train passes the same pole in 12 seconds.
To find:
The time it takes for the two trains to cross each other.
Approach:
- Let's assume the length of each train is 'L' units.
- The relative speed of the two trains is the sum of their individual speeds.
- We need to find the time it takes for the two trains to cover the combined length of the two trains.
Calculation:
1. Let the speed of the first train be 'v1' units/second, and the speed of the second train be 'v2' units/second.
2. The time taken by the first train to cross the pole is 18 seconds.
- Therefore, the distance covered by the first train in 18 seconds = 18v1 (distance = speed × time)
- So, the length of the first train = 18v1
3. Similarly, the length of the second train = 12v2
4. The combined length of the two trains = 18v1 + 12v2
5. Now, we need to find the time it takes for the two trains to cross each other.
- The relative speed of the two trains = v1 + v2
- Time = distance / speed
- Time = (18v1 + 12v2) / (v1 + v2)
6. Since the two trains are of equal length, we have:
- 18v1 = 12v2
- v2 = (18v1) / 12 = 3v1 / 2
7. Substitute the value of v2 in the formula for time:
- Time = (18v1 + 12(3v1/2)) / (v1 + 3v1/2)
- Time = (18v1 + 18v1) / (v1 + 3v1/2)
- Time = 36v1 / (v1 + 3v1/2)
- Time = 36v1 / (3v1/2 + 2v1/2)
- Time = 36v1 / (5v1/2)
- Time = 72 / 5 seconds
- Time = 14.4 seconds
Conclusion:
The two trains will cross each other in 14.4 seconds, which is option 'A'.
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Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in:a)14.4 secondsb)15.5 secondsc)18.8 secondsd)20.2 secondsCorrect answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in:a)14.4 secondsb)15.5 secondsc)18.8 secondsd)20.2 secondsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in:a)14.4 secondsb)15.5 secondsc)18.8 secondsd)20.2 secondsCorrect answer is option 'A'. Can you explain this answer?.
Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in:a)14.4 secondsb)15.5 secondsc)18.8 secondsd)20.2 secondsCorrect answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in:a)14.4 secondsb)15.5 secondsc)18.8 secondsd)20.2 secondsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains of equal length, running in opposite directions, pass a pole in 18 and 12 seconds. The trains will cross each other in:a)14.4 secondsb)15.5 secondsc)18.8 secondsd)20.2 secondsCorrect answer is option 'A'. Can you explain this answer?.
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