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Train A length of 300 m running at a speed of 54 km/hr can cross another train and a passenger, who is sitting inside train B in 20 seconds and 10 seconds, respectively. Find the time taken by train B to cross a cyclist, who is running in same direction as that of train B with a speed of 18 km/hr? (Note: The given trains are travelling in opposite direction with each other)
- a)30 seconds
- b)30 seconds
- c)30 seconds
- d)30 seconds
- e)30 seconds
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Train A length of 300 m running at a speed of 54 km/hr can cross anot...
Let, speed of train B = x m/s and its length = y m.
Relative speed between train A and B = 54 × (5/18) + x = (15 + x) m/s
While crossing the passenger,
{300/ (15 + x)} = 10
15 + x = 30
x = 15
Again, while crossing each other,
{(300 + y)/ (15 + 15)} = 20
300 + y = 600
y = 300
Relative speed between the cyclist and train B = 15 – {18 × (5/18)} = 10 m/s
Therefore, time taken by train B to cross a cyclist = 300/10 = 30 seconds.
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Train A length of 300 m running at a speed of 54 km/hr can cross anot...
To solve this problem, let's break it down into steps:
1. Convert the speed of train A from km/hr to m/s.
- The speed of train A is given as 54 km/hr.
- To convert km/hr to m/s, we divide by 3.6 (since 1 km/hr = 1000 m/3600 s = 1/3.6 m/s).
- So, the speed of train A is (54 km/hr) / (3.6 m/s) = 15 m/s.
2. Calculate the relative speed between train A and train B.
- Since the two trains are traveling in opposite directions, we need to consider their relative speed.
- The relative speed is the sum of their individual speeds.
- So, the relative speed between train A and train B is 15 m/s + 15 m/s = 30 m/s.
3. Find the length of train B.
- Train B takes 10 seconds to cross the passenger sitting inside it while train A passes.
- Since train A is 300 m long, the length of train B can be calculated using the formula: length = speed * time.
- So, the length of train B is (30 m/s) * (10 s) = 300 m.
4. Calculate the time taken by train B to cross the cyclist.
- The speed of the cyclist is given as 18 km/hr.
- Convert it to m/s by dividing by 3.6: (18 km/hr) / (3.6 m/s) = 5 m/s.
- Since the cyclist is moving in the same direction as train B, their relative speed is the difference between their speeds.
- So, the relative speed between train B and the cyclist is 30 m/s - 5 m/s = 25 m/s.
- The time taken by train B to cross the cyclist can be calculated using the formula: time = distance / speed.
- Since the length of train B is 300 m, the time taken to cross the cyclist is (300 m) / (25 m/s) = 12 seconds.
Therefore, the time taken by train B to cross the cyclist is 12 seconds.
1. Convert the speed of train A from km/hr to m/s.
- The speed of train A is given as 54 km/hr.
- To convert km/hr to m/s, we divide by 3.6 (since 1 km/hr = 1000 m/3600 s = 1/3.6 m/s).
- So, the speed of train A is (54 km/hr) / (3.6 m/s) = 15 m/s.
2. Calculate the relative speed between train A and train B.
- Since the two trains are traveling in opposite directions, we need to consider their relative speed.
- The relative speed is the sum of their individual speeds.
- So, the relative speed between train A and train B is 15 m/s + 15 m/s = 30 m/s.
3. Find the length of train B.
- Train B takes 10 seconds to cross the passenger sitting inside it while train A passes.
- Since train A is 300 m long, the length of train B can be calculated using the formula: length = speed * time.
- So, the length of train B is (30 m/s) * (10 s) = 300 m.
4. Calculate the time taken by train B to cross the cyclist.
- The speed of the cyclist is given as 18 km/hr.
- Convert it to m/s by dividing by 3.6: (18 km/hr) / (3.6 m/s) = 5 m/s.
- Since the cyclist is moving in the same direction as train B, their relative speed is the difference between their speeds.
- So, the relative speed between train B and the cyclist is 30 m/s - 5 m/s = 25 m/s.
- The time taken by train B to cross the cyclist can be calculated using the formula: time = distance / speed.
- Since the length of train B is 300 m, the time taken to cross the cyclist is (300 m) / (25 m/s) = 12 seconds.
Therefore, the time taken by train B to cross the cyclist is 12 seconds.
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Train A length of 300 m running at a speed of 54 km/hr can cross another train and a passenger, who is sitting inside train B in 20 seconds and 10 seconds, respectively. Find the time taken by train B to cross a cyclist, who is running in same direction as that of train B with a speed of 18 km/hr? (Note: The given trains are travelling in opposite direction with each other)a)30 secondsb)30 secondsc)30 secondsd)30 secondse)30 secondsCorrect answer is option 'A'. Can you explain this answer?
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Train A length of 300 m running at a speed of 54 km/hr can cross another train and a passenger, who is sitting inside train B in 20 seconds and 10 seconds, respectively. Find the time taken by train B to cross a cyclist, who is running in same direction as that of train B with a speed of 18 km/hr? (Note: The given trains are travelling in opposite direction with each other)a)30 secondsb)30 secondsc)30 secondsd)30 secondse)30 secondsCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Train A length of 300 m running at a speed of 54 km/hr can cross another train and a passenger, who is sitting inside train B in 20 seconds and 10 seconds, respectively. Find the time taken by train B to cross a cyclist, who is running in same direction as that of train B with a speed of 18 km/hr? (Note: The given trains are travelling in opposite direction with each other)a)30 secondsb)30 secondsc)30 secondsd)30 secondse)30 secondsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Train A length of 300 m running at a speed of 54 km/hr can cross another train and a passenger, who is sitting inside train B in 20 seconds and 10 seconds, respectively. Find the time taken by train B to cross a cyclist, who is running in same direction as that of train B with a speed of 18 km/hr? (Note: The given trains are travelling in opposite direction with each other)a)30 secondsb)30 secondsc)30 secondsd)30 secondse)30 secondsCorrect answer is option 'A'. Can you explain this answer?.
Train A length of 300 m running at a speed of 54 km/hr can cross another train and a passenger, who is sitting inside train B in 20 seconds and 10 seconds, respectively. Find the time taken by train B to cross a cyclist, who is running in same direction as that of train B with a speed of 18 km/hr? (Note: The given trains are travelling in opposite direction with each other)a)30 secondsb)30 secondsc)30 secondsd)30 secondse)30 secondsCorrect answer is option 'A'. Can you explain this answer? for Banking Exams 2025 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Train A length of 300 m running at a speed of 54 km/hr can cross another train and a passenger, who is sitting inside train B in 20 seconds and 10 seconds, respectively. Find the time taken by train B to cross a cyclist, who is running in same direction as that of train B with a speed of 18 km/hr? (Note: The given trains are travelling in opposite direction with each other)a)30 secondsb)30 secondsc)30 secondsd)30 secondse)30 secondsCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Train A length of 300 m running at a speed of 54 km/hr can cross another train and a passenger, who is sitting inside train B in 20 seconds and 10 seconds, respectively. Find the time taken by train B to cross a cyclist, who is running in same direction as that of train B with a speed of 18 km/hr? (Note: The given trains are travelling in opposite direction with each other)a)30 secondsb)30 secondsc)30 secondsd)30 secondse)30 secondsCorrect answer is option 'A'. Can you explain this answer?.
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