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Train A and Train B are running on parallel tracks with the speeds of 72 kmph and 54 kmph, respectively. If they move in the same direction, Mr. Ravi, who sits in the slower train, observes that the faster train passes him in 18 seconds. If they move in opposite directions, both the trains pass each other in 24 seconds. Find the length of the slower train.
- a)500 metres
Correct answer is option ''. Can you explain this answer?
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Train A and Train B are running on parallel tracks with the speeds of ...
To solve this problem, we need to consider the relative motion of the two trains.
Let's assume the length of the slower train (Train B) is L meters.
When the two trains are moving in the same direction, the relative speed between them is the difference of their speeds, which is (72 - 54) kmph = 18 kmph = 5 m/s (1 kmph = 5/18 m/s).
When Train A (faster train) overtakes Train B (slower train), the distance covered by Train A with respect to Train B is equal to the length of Train B.
Therefore, the relative speed of Train A with respect to Train B is equal to the relative speed between the two trains.
Using the formula distance = speed × time, we can write:
L = 5 × 18
L = 90 meters
So, the length of the slower train (Train B) is 90 meters.
Let's assume the length of the slower train (Train B) is L meters.
When the two trains are moving in the same direction, the relative speed between them is the difference of their speeds, which is (72 - 54) kmph = 18 kmph = 5 m/s (1 kmph = 5/18 m/s).
When Train A (faster train) overtakes Train B (slower train), the distance covered by Train A with respect to Train B is equal to the length of Train B.
Therefore, the relative speed of Train A with respect to Train B is equal to the relative speed between the two trains.
Using the formula distance = speed × time, we can write:
L = 5 × 18
L = 90 meters
So, the length of the slower train (Train B) is 90 meters.
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Train A and Train B are running on parallel tracks with the speeds of ...
Time is given in seconds, so speeds should be metre per second.
Speed of the faster train = 72 × 5/18 = 20 m/s
Speed of the slower train = 54 × 5/18 = 15 m/s
Let the length of the trains be x and y m, respectively.
Total distance to be covered = Sum of the lengths of the two trains = x + y
When they move in opposite directions:
Relative speed = Sum of their speeds = 20 + 15 = 35 m/s
Time taken = 24 seconds
Distance = x + y
Distance = Relative Speed × Time
⇒ x + y = 35 × 24 = 840 m
When they move in the same direction:
Time taken = 18 seconds
Here, the faster train passes Mr. Ravi only, so distance is equal to the length of the faster train.
Distance = Length of the faster train
Distance = Relative Speed × Time
⇒ x = 5 × 18 = 90 m
We have, x + y = 840 and x = 90 m
⇒ y = 750 m
So, the length of the slower train is 750 m.
Speed of the faster train = 72 × 5/18 = 20 m/s
Speed of the slower train = 54 × 5/18 = 15 m/s
Let the length of the trains be x and y m, respectively.
Total distance to be covered = Sum of the lengths of the two trains = x + y
When they move in opposite directions:
Relative speed = Sum of their speeds = 20 + 15 = 35 m/s
Time taken = 24 seconds
Distance = x + y
Distance = Relative Speed × Time
⇒ x + y = 35 × 24 = 840 m
When they move in the same direction:
Time taken = 18 seconds
Here, the faster train passes Mr. Ravi only, so distance is equal to the length of the faster train.
Distance = Length of the faster train
Distance = Relative Speed × Time
⇒ x = 5 × 18 = 90 m
We have, x + y = 840 and x = 90 m
⇒ y = 750 m
So, the length of the slower train is 750 m.
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Train A and Train B are running on parallel tracks with the speeds of 72 kmph and 54 kmph, respectively. If they move in the same direction, Mr. Ravi, who sits in the slower train, observes that the faster train passes him in 18 seconds. If they move in opposite directions, both the trains pass each other in 24 seconds. Find the length of the slower train.a)500 metresCorrect answer is option ''. Can you explain this answer?
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Train A and Train B are running on parallel tracks with the speeds of 72 kmph and 54 kmph, respectively. If they move in the same direction, Mr. Ravi, who sits in the slower train, observes that the faster train passes him in 18 seconds. If they move in opposite directions, both the trains pass each other in 24 seconds. Find the length of the slower train.a)500 metresCorrect answer is option ''. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Train A and Train B are running on parallel tracks with the speeds of 72 kmph and 54 kmph, respectively. If they move in the same direction, Mr. Ravi, who sits in the slower train, observes that the faster train passes him in 18 seconds. If they move in opposite directions, both the trains pass each other in 24 seconds. Find the length of the slower train.a)500 metresCorrect answer is option ''. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Train A and Train B are running on parallel tracks with the speeds of 72 kmph and 54 kmph, respectively. If they move in the same direction, Mr. Ravi, who sits in the slower train, observes that the faster train passes him in 18 seconds. If they move in opposite directions, both the trains pass each other in 24 seconds. Find the length of the slower train.a)500 metresCorrect answer is option ''. Can you explain this answer?.
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