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Two trains travel in the same direction at 50 km/hr and 32 km/hr respectively. A man in the slower train observes that the faster train passes him completely in 15 secs. The length of the faster train, in metres, is
- a)18
- b)50
- c)75
- d)150
Correct answer is option 'C'. Can you explain this answer?
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Two trains travel in the same direction at 50 km/hr and 32 km/hr respe...
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Problem Analysis:
Let's consider the two trains as Train A and Train B. The speed of Train A is 50 km/hr and the speed of Train B is 32 km/hr. We need to find the length of Train A.
Given:
- Speed of Train A = 50 km/hr
- Speed of Train B = 32 km/hr
- Time taken by Train B to pass Train A completely = 15 seconds
Approach:
To find the length of Train A, we need to first determine the relative speed between the two trains. The relative speed is the difference between the speeds of Train A and Train B.
Calculating Relative Speed:
Relative Speed = Speed of Train A - Speed of Train B
= 50 km/hr - 32 km/hr
= 18 km/hr
Conversion from km/hr to m/s:
To calculate the length of Train A, we need to convert the relative speed from km/hr to m/s. We know that 1 km/hr = 5/18 m/s.
Relative Speed = 18 km/hr * (5/18) m/s
= 5 m/s
Calculating Length of Train A:
The length of Train A can be calculated using the formula: Length = Speed * Time
Length of Train A = Relative Speed * Time taken by Train B to pass Train A completely
= 5 m/s * 15 s
= 75 meters
Conclusion:
Therefore, the length of the faster train (Train A) is 75 meters. Hence, the correct answer is option C.
Let's consider the two trains as Train A and Train B. The speed of Train A is 50 km/hr and the speed of Train B is 32 km/hr. We need to find the length of Train A.
Given:
- Speed of Train A = 50 km/hr
- Speed of Train B = 32 km/hr
- Time taken by Train B to pass Train A completely = 15 seconds
Approach:
To find the length of Train A, we need to first determine the relative speed between the two trains. The relative speed is the difference between the speeds of Train A and Train B.
Calculating Relative Speed:
Relative Speed = Speed of Train A - Speed of Train B
= 50 km/hr - 32 km/hr
= 18 km/hr
Conversion from km/hr to m/s:
To calculate the length of Train A, we need to convert the relative speed from km/hr to m/s. We know that 1 km/hr = 5/18 m/s.
Relative Speed = 18 km/hr * (5/18) m/s
= 5 m/s
Calculating Length of Train A:
The length of Train A can be calculated using the formula: Length = Speed * Time
Length of Train A = Relative Speed * Time taken by Train B to pass Train A completely
= 5 m/s * 15 s
= 75 meters
Conclusion:
Therefore, the length of the faster train (Train A) is 75 meters. Hence, the correct answer is option C.
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Two trains travel in the same direction at 50 km/hr and 32 km/hr respectively. A man in the slower train observes that the faster train passes him completely in 15 secs. The length of the faster train, in metres, isa)18b)50c)75d)150Correct answer is option 'C'. Can you explain this answer?
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Two trains travel in the same direction at 50 km/hr and 32 km/hr respectively. A man in the slower train observes that the faster train passes him completely in 15 secs. The length of the faster train, in metres, isa)18b)50c)75d)150Correct answer is option 'C'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Two trains travel in the same direction at 50 km/hr and 32 km/hr respectively. A man in the slower train observes that the faster train passes him completely in 15 secs. The length of the faster train, in metres, isa)18b)50c)75d)150Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains travel in the same direction at 50 km/hr and 32 km/hr respectively. A man in the slower train observes that the faster train passes him completely in 15 secs. The length of the faster train, in metres, isa)18b)50c)75d)150Correct answer is option 'C'. Can you explain this answer?.
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