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Two trains, whose ratio of speed is 5 ∶ 7, can cross a vertical pole in 12 seconds and 15 seconds respectively. Find the time in which they will cross each other if they are going in opposite directions.
  • a)
    82.5 seconds
  • b)
    13.25 seconds
  • c)
    13.75 seconds
  • d)
    79.5 seconds
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Two trains, whose ratio of speed is 5 ∶ 7, can cross a vertical ...
Suppose the speeds of train are 5x and 7x km/hr;
∴ Length of 1st train = 60x
Length of 2nd train = 105x
∴ Time in which they will cross each other = (60x + 105x) / (5x + 7x) = 165/12 = 13.75 seconds
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Most Upvoted Answer
Two trains, whose ratio of speed is 5 ∶ 7, can cross a vertical ...
To solve this problem, we need to consider the relative speed of the two trains when they are going in opposite directions.

Let's assume the speed of the first train is 5x, and the speed of the second train is 7x, where x is a constant.

The time taken by the first train to cross a vertical pole is given as 12 seconds, and the time taken by the second train is given as 15 seconds.

We know that distance = speed × time.

For the first train: distance = 5x × 12 = 60x
For the second train: distance = 7x × 15 = 105x

When the two trains are going in opposite directions, the total distance covered by both trains is equal to the sum of their distances.

Total distance = 60x + 105x = 165x

Now, we need to find the time taken by the two trains to cross each other.

Using the formula distance = speed × time, we can write:

165x = (5x + 7x) × time
165x = 12x × time
time = 165x / 12x
time = 13.75 seconds

Therefore, the time taken by the two trains to cross each other when they are going in opposite directions is 13.75 seconds.

Hence, the correct answer is option C) 13.75 seconds.
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Two trains, whose ratio of speed is 5 ∶ 7, can cross a vertical pole in 12 seconds and 15 seconds respectively. Find the time in which they will cross each other if they are going in opposite directions.a)82.5 secondsb)13.25 secondsc)13.75 secondsd)79.5 secondsCorrect answer is option 'C'. Can you explain this answer?
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Two trains, whose ratio of speed is 5 ∶ 7, can cross a vertical pole in 12 seconds and 15 seconds respectively. Find the time in which they will cross each other if they are going in opposite directions.a)82.5 secondsb)13.25 secondsc)13.75 secondsd)79.5 secondsCorrect 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 Two trains, whose ratio of speed is 5 ∶ 7, can cross a vertical pole in 12 seconds and 15 seconds respectively. Find the time in which they will cross each other if they are going in opposite directions.a)82.5 secondsb)13.25 secondsc)13.75 secondsd)79.5 secondsCorrect 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 Two trains, whose ratio of speed is 5 ∶ 7, can cross a vertical pole in 12 seconds and 15 seconds respectively. Find the time in which they will cross each other if they are going in opposite directions.a)82.5 secondsb)13.25 secondsc)13.75 secondsd)79.5 secondsCorrect answer is option 'C'. Can you explain this answer?.
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