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Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?
- a)10
- b)15
- c)12
- d)20
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Two trains of equal lengths take 10 seconds and 15 seconds respectivel...
Speed of the first train = 120/10 = 12 m/sec.
Speed of the second train =120/15= 8 m/sec.
Relative speed = (12 + 8) = 20 m/sec.
Therefore Required time =(120 + 120)/20 = 12 sec.
Most Upvoted Answer
Two trains of equal lengths take 10 seconds and 15 seconds respectivel...
Given data:
Length of each train = 120 meters
First train takes 10 seconds to cross a telegraph post
Second train takes 15 seconds to cross a telegraph post
To find:
Time taken by the two trains to cross each other when traveling in opposite directions.
Explanation:
When two trains are traveling in opposite directions, the total distance covered by both trains is equal to the sum of their lengths.
Let's calculate the total distance covered by both trains:
Total distance = Length of train 1 + Length of train 2
Total distance = 120 meters + 120 meters
Total distance = 240 meters
Now, we need to find the time taken by the two trains to cover this total distance.
Let's calculate the relative speed of the two trains:
Relative speed = Speed of train 1 + Speed of train 2
Since the two trains are traveling in opposite directions, their speeds will add up.
Speed of train 1 = Distance/Time = 120 meters/10 seconds = 12 meters/second
Speed of train 2 = Distance/Time = 120 meters/15 seconds = 8 meters/second
Relative speed = 12 meters/second + 8 meters/second
Relative speed = 20 meters/second
Now, we can calculate the time taken by the two trains to cross each other:
Time = Distance/Relative speed = 240 meters/20 meters/second
Canceling out meters, we get:
Time = 240/20 seconds
Time = 12 seconds
Therefore, the two trains will cross each other when traveling in opposite directions in 12 seconds.
Hence, the correct answer is option C) 12.
Length of each train = 120 meters
First train takes 10 seconds to cross a telegraph post
Second train takes 15 seconds to cross a telegraph post
To find:
Time taken by the two trains to cross each other when traveling in opposite directions.
Explanation:
When two trains are traveling in opposite directions, the total distance covered by both trains is equal to the sum of their lengths.
Let's calculate the total distance covered by both trains:
Total distance = Length of train 1 + Length of train 2
Total distance = 120 meters + 120 meters
Total distance = 240 meters
Now, we need to find the time taken by the two trains to cover this total distance.
Let's calculate the relative speed of the two trains:
Relative speed = Speed of train 1 + Speed of train 2
Since the two trains are traveling in opposite directions, their speeds will add up.
Speed of train 1 = Distance/Time = 120 meters/10 seconds = 12 meters/second
Speed of train 2 = Distance/Time = 120 meters/15 seconds = 8 meters/second
Relative speed = 12 meters/second + 8 meters/second
Relative speed = 20 meters/second
Now, we can calculate the time taken by the two trains to cross each other:
Time = Distance/Relative speed = 240 meters/20 meters/second
Canceling out meters, we get:
Time = 240/20 seconds
Time = 12 seconds
Therefore, the two trains will cross each other when traveling in opposite directions in 12 seconds.
Hence, the correct answer is option C) 12.
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Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?a)10b)15c)12d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?a)10b)15c)12d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?a)10b)15c)12d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post. If the length of each train be 120 metres, in what time (in seconds) will they cross each other travelling in opposite direction?a)10b)15c)12d)20e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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