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Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?
- a)560
- b)490
- c)520
- d)640
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 24 km/hr a...
Let the speed of fast train is Sf and speed of slow train is Ss.
⇒ Sf – Ss = (Length of fast train)/Time
⇒ 5/18 × (50 - 24) = (Length of fast train)/72
⇒ 5/18 × 26 × 72 = Length of fast train
∴ Length of fast train = 520 m
⇒ Sf – Ss = (Length of fast train)/Time
⇒ 5/18 × (50 - 24) = (Length of fast train)/72
⇒ 5/18 × 26 × 72 = Length of fast train
∴ Length of fast train = 520 m
Most Upvoted Answer
Two trains are moving in the same direction at the speed of 24 km/hr a...
Given information:
- Speed of slower train = 24 km/hr
- Speed of faster train = 50 km/hr
- Time taken by faster train to cross a man in slower train = 72 seconds
Approach:
- First, find the relative speed of the two trains.
- Then, use the formula Distance = Speed x Time to find the length of the faster train.
Calculations:
- Relative speed = Speed of faster train - Speed of slower train
= 50 km/hr - 24 km/hr
= 26 km/hr
= 26 * (5/18) m/s (Converting km/hr to m/s)
= 13/9 m/s
- Distance covered by the faster train in crossing the man in slower train = Speed x Time
= (13/9) m/s x 72 s
= 104 m
Final Answer:
The length of the faster train is 104 meters.
Therefore, the correct answer is option C) 520.
- Speed of slower train = 24 km/hr
- Speed of faster train = 50 km/hr
- Time taken by faster train to cross a man in slower train = 72 seconds
Approach:
- First, find the relative speed of the two trains.
- Then, use the formula Distance = Speed x Time to find the length of the faster train.
Calculations:
- Relative speed = Speed of faster train - Speed of slower train
= 50 km/hr - 24 km/hr
= 26 km/hr
= 26 * (5/18) m/s (Converting km/hr to m/s)
= 13/9 m/s
- Distance covered by the faster train in crossing the man in slower train = Speed x Time
= (13/9) m/s x 72 s
= 104 m
Final Answer:
The length of the faster train is 104 meters.
Therefore, the correct answer is option C) 520.
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Two trains are moving in the same direction at the speed of 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?a)560b)490c)520d)640Correct 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 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?a)560b)490c)520d)640Correct 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 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?a)560b)490c)520d)640Correct 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 24 km/hr and 50 km/hr. The time taken by faster train to cross a man sitting in the slower train is 72 seconds. What will be the length (in metres) of the faster train?a)560b)490c)520d)640Correct answer is option 'C'. Can you explain this answer?.
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