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A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?
- a)5 m/s
- b)8 m/s
- c)12 m/s
- d)cannot be determined
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A 280 meter long train moving with an average speed of 108 km/h crosse...
Speed of train = 108km/hr=108*5/18 m/sec = 30m/s
If the length of the platform be x meters,
then
x+280/12=30 x+280=360
x=(360-280)=80m
∴speed of man=80/10 = 8m/s
If the length of the platform be x meters,
then
x+280/12=30 x+280=360
x=(360-280)=80m
∴speed of man=80/10 = 8m/s
Most Upvoted Answer
A 280 meter long train moving with an average speed of 108 km/h crosse...
To solve this problem, we can use the concept of relative speed. The train is moving with a certain speed, and the man is moving with his own speed. The relative speed between the train and the man can be calculated by subtracting their individual speeds.
Given:
Length of the train (L) = 280 meters
Speed of the train (S1) = 108 km/h
Time taken by the train to cross the platform (T1) = 12 seconds
Time taken by the man to cross the platform (T2) = 10 seconds
Let's calculate the speed of the man (S2):
1. Convert the speed of the train from km/h to m/s:
Speed of the train (S1) = 108 km/h = (108 * 1000) m/3600 s = 30 m/s
2. Calculate the time taken by the train to cross the platform (T1) in m/s:
Time taken by the train to cross the platform (T1) = 12 seconds
Distance covered by the train (D1) = Length of the train (L) = 280 meters
Speed of the train (S1) = Distance covered by the train (D1) / Time taken by the train (T1)
30 = 280 / T1
T1 = 280 / 30 = 9.33 seconds
3. Calculate the speed of the man (S2):
Relative speed = Speed of the train (S1) - Speed of the man (S2)
Relative speed = 30 - S2
The man takes 10 seconds to cross the platform, so the distance covered by the man (D2) is equal to the length of the platform (L).
Relative speed = Distance covered by the man (D2) / Time taken by the man (T2)
30 - S2 = L / T2
30 - S2 = 280 / 10
30 - S2 = 28
S2 = 30 - 28 = 2 m/s
Therefore, the speed of the man is 2 m/s.
Since none of the options given match the calculated speed of the man, it can be concluded that the speed of the man cannot be determined accurately.
Given:
Length of the train (L) = 280 meters
Speed of the train (S1) = 108 km/h
Time taken by the train to cross the platform (T1) = 12 seconds
Time taken by the man to cross the platform (T2) = 10 seconds
Let's calculate the speed of the man (S2):
1. Convert the speed of the train from km/h to m/s:
Speed of the train (S1) = 108 km/h = (108 * 1000) m/3600 s = 30 m/s
2. Calculate the time taken by the train to cross the platform (T1) in m/s:
Time taken by the train to cross the platform (T1) = 12 seconds
Distance covered by the train (D1) = Length of the train (L) = 280 meters
Speed of the train (S1) = Distance covered by the train (D1) / Time taken by the train (T1)
30 = 280 / T1
T1 = 280 / 30 = 9.33 seconds
3. Calculate the speed of the man (S2):
Relative speed = Speed of the train (S1) - Speed of the man (S2)
Relative speed = 30 - S2
The man takes 10 seconds to cross the platform, so the distance covered by the man (D2) is equal to the length of the platform (L).
Relative speed = Distance covered by the man (D2) / Time taken by the man (T2)
30 - S2 = L / T2
30 - S2 = 280 / 10
30 - S2 = 28
S2 = 30 - 28 = 2 m/s
Therefore, the speed of the man is 2 m/s.
Since none of the options given match the calculated speed of the man, it can be concluded that the speed of the man cannot be determined accurately.
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A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. 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 A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. 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 A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Defence 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. Can you explain this answer?.
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A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A 280 meter long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A man crosses the same platform in 10 seconds. What is the speed of the man?a)5 m/sb)8 m/sc)12 m/sd)cannot be determinedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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