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Train A is 236m long and is running with the speed of 63 km/hr. Train S is 164m long and is running with the speed of 53 km/hr. Both trains are running in same direction along parallel tracks. The time taken by the faster train to completely overtake the slower train is
- a)1 min 12 sec
- b)4 min 48 sec
- c)2 min 24 sec
- d)none of the above
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Train A is 236m long and is running with the speed of 63 km/hr. Train ...
Relative speed = (63 - 53) km/hr = 10 km/hr = 10 x 5/18 m/sec
Total length = (236 + 164) m = 400 m
Required time = Total length/Relative speed = 400 x 18/50 sec = 144 sec
= 2 min 24 sec
Total length = (236 + 164) m = 400 m
Required time = Total length/Relative speed = 400 x 18/50 sec = 144 sec
= 2 min 24 sec
Most Upvoted Answer
Train A is 236m long and is running with the speed of 63 km/hr. Train ...
To find the time taken by the faster train to completely overtake the slower train, we need to calculate the relative speed between the two trains and then divide the length of the slower train by this relative speed.
Relative Speed:
The relative speed between the two trains is the difference in their speeds.
Speed of Train A = 63 km/hr
Speed of Train S = 53 km/hr
Relative Speed = Speed of Train A - Speed of Train S
= 63 km/hr - 53 km/hr
= 10 km/hr
Converting km/hr to m/s:
To find the relative speed in m/s, we need to convert the speed from km/hr to m/s. We know that 1 km/hr = 5/18 m/s.
Relative Speed = 10 km/hr × (5/18) m/s
= 50/18 m/s
= 2.78 m/s (approx.)
Time Taken:
Now, we can calculate the time taken by the faster train to completely overtake the slower train by dividing the length of the slower train by the relative speed.
Length of Train S = 164 m
Time Taken = Length of Train S / Relative Speed
= 164 m / 2.78 m/s
= 59.00 seconds
≈ 59 seconds
Therefore, the time taken by the faster train to completely overtake the slower train is approximately 59 seconds.
Answer:
None of the given options (a, b, c) matches the calculated time. So, the correct answer is none of the above.
Relative Speed:
The relative speed between the two trains is the difference in their speeds.
Speed of Train A = 63 km/hr
Speed of Train S = 53 km/hr
Relative Speed = Speed of Train A - Speed of Train S
= 63 km/hr - 53 km/hr
= 10 km/hr
Converting km/hr to m/s:
To find the relative speed in m/s, we need to convert the speed from km/hr to m/s. We know that 1 km/hr = 5/18 m/s.
Relative Speed = 10 km/hr × (5/18) m/s
= 50/18 m/s
= 2.78 m/s (approx.)
Time Taken:
Now, we can calculate the time taken by the faster train to completely overtake the slower train by dividing the length of the slower train by the relative speed.
Length of Train S = 164 m
Time Taken = Length of Train S / Relative Speed
= 164 m / 2.78 m/s
= 59.00 seconds
≈ 59 seconds
Therefore, the time taken by the faster train to completely overtake the slower train is approximately 59 seconds.
Answer:
None of the given options (a, b, c) matches the calculated time. So, the correct answer is none of the above.
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Train A is 236m long and is running with the speed of 63 km/hr. Train S is 164m long and is running with the speed of 53 km/hr. Both trains are running in same direction along parallel tracks. The time taken by the faster train to completely overtake the slower train isa)1 min 12 secb)4 min 48 secc)2 min 24 secd)none of the aboveCorrect answer is option 'C'. Can you explain this answer?
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Train A is 236m long and is running with the speed of 63 km/hr. Train S is 164m long and is running with the speed of 53 km/hr. Both trains are running in same direction along parallel tracks. The time taken by the faster train to completely overtake the slower train isa)1 min 12 secb)4 min 48 secc)2 min 24 secd)none of the aboveCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Train A is 236m long and is running with the speed of 63 km/hr. Train S is 164m long and is running with the speed of 53 km/hr. Both trains are running in same direction along parallel tracks. The time taken by the faster train to completely overtake the slower train isa)1 min 12 secb)4 min 48 secc)2 min 24 secd)none of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Train A is 236m long and is running with the speed of 63 km/hr. Train S is 164m long and is running with the speed of 53 km/hr. Both trains are running in same direction along parallel tracks. The time taken by the faster train to completely overtake the slower train isa)1 min 12 secb)4 min 48 secc)2 min 24 secd)none of the aboveCorrect answer is option 'C'. Can you explain this answer?.
Train A is 236m long and is running with the speed of 63 km/hr. Train S is 164m long and is running with the speed of 53 km/hr. Both trains are running in same direction along parallel tracks. The time taken by the faster train to completely overtake the slower train isa)1 min 12 secb)4 min 48 secc)2 min 24 secd)none of the aboveCorrect answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about Train A is 236m long and is running with the speed of 63 km/hr. Train S is 164m long and is running with the speed of 53 km/hr. Both trains are running in same direction along parallel tracks. The time taken by the faster train to completely overtake the slower train isa)1 min 12 secb)4 min 48 secc)2 min 24 secd)none of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Train A is 236m long and is running with the speed of 63 km/hr. Train S is 164m long and is running with the speed of 53 km/hr. Both trains are running in same direction along parallel tracks. The time taken by the faster train to completely overtake the slower train isa)1 min 12 secb)4 min 48 secc)2 min 24 secd)none of the aboveCorrect answer is option 'C'. Can you explain this answer?.
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