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Two trains are moving in the same direction at the speed of 35 km/hr and 71 km/hr. Time taken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?
- a)540
- b)420
- c)480
- d)660
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two trains are moving in the same direction at the speed of 35 km/hr a...
Relative speed of train = 71 - 35 = 36 × (5/18) = 10 m/s
Time = 48 seconds
So, length of faster train = 48 × 10 = 480 metres
Time = 48 seconds
So, length of faster train = 48 × 10 = 480 metres
Most Upvoted Answer
Two trains are moving in the same direction at the speed of 35 km/hr a...
Given information:
- Speed of slower train = 35 km/hr
- Speed of faster train = 71 km/hr
- Time taken by faster train to cross a man sitting in the slower train = 48 seconds
To find:
- Length of the faster train
Let's assume the length of the faster train is 'x' meters.
Since the two trains are moving in the same direction, the relative speed of the faster train with respect to the slower train is the difference between their speeds.
Relative speed = 71 km/hr - 35 km/hr = 36 km/hr = (36 × 5/18) m/s = 10 m/s
To cross the man sitting in the slower train, the faster train needs to cover the length of the man and its own length.
Therefore, the distance covered by the faster train in crossing the man is equal to the sum of their lengths.
Using the formula: Distance = Speed × Time, we can find the distance covered by the faster train in 48 seconds.
Distance = 10 m/s × 48 s = 480 meters
Now, we know that the distance covered by the faster train is equal to the sum of the lengths of the man and the faster train.
Therefore, x + length of man = 480 meters
Since the length of the man is negligible compared to the length of the train, we can assume it to be zero.
So, x + 0 = 480 meters
x = 480 meters
Hence, the length of the faster train is 480 meters, which is option C.
- Speed of slower train = 35 km/hr
- Speed of faster train = 71 km/hr
- Time taken by faster train to cross a man sitting in the slower train = 48 seconds
To find:
- Length of the faster train
Let's assume the length of the faster train is 'x' meters.
Since the two trains are moving in the same direction, the relative speed of the faster train with respect to the slower train is the difference between their speeds.
Relative speed = 71 km/hr - 35 km/hr = 36 km/hr = (36 × 5/18) m/s = 10 m/s
To cross the man sitting in the slower train, the faster train needs to cover the length of the man and its own length.
Therefore, the distance covered by the faster train in crossing the man is equal to the sum of their lengths.
Using the formula: Distance = Speed × Time, we can find the distance covered by the faster train in 48 seconds.
Distance = 10 m/s × 48 s = 480 meters
Now, we know that the distance covered by the faster train is equal to the sum of the lengths of the man and the faster train.
Therefore, x + length of man = 480 meters
Since the length of the man is negligible compared to the length of the train, we can assume it to be zero.
So, x + 0 = 480 meters
x = 480 meters
Hence, the length of the faster train is 480 meters, which is option C.
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Two trains are moving in the same direction at the speed of 35 km/hr and 71 km/hr. Timetaken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?a)540b)420c)480d)660Correct answer is option 'C'. Can you explain this answer?
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Two trains are moving in the same direction at the speed of 35 km/hr and 71 km/hr. Timetaken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?a)540b)420c)480d)660Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two trains are moving in the same direction at the speed of 35 km/hr and 71 km/hr. Timetaken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?a)540b)420c)480d)660Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains are moving in the same direction at the speed of 35 km/hr and 71 km/hr. Timetaken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?a)540b)420c)480d)660Correct answer is option 'C'. Can you explain this answer?.
Two trains are moving in the same direction at the speed of 35 km/hr and 71 km/hr. Timetaken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?a)540b)420c)480d)660Correct answer is option 'C'. Can you explain this answer? for Defence 2024 is part of Defence preparation. The Question and answers have been prepared according to the Defence exam syllabus. Information about Two trains are moving in the same direction at the speed of 35 km/hr and 71 km/hr. Timetaken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?a)540b)420c)480d)660Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains are moving in the same direction at the speed of 35 km/hr and 71 km/hr. Timetaken by faster train to cross a man sitting in the slower train is 48 seconds. What will be the length (in metres) of the faster train?a)540b)420c)480d)660Correct answer is option 'C'. Can you explain this answer?.
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