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The speeds of two trains are in the ratio 3 : 4. They are going in opposite directions along parallel tracks. If each takes 3 seconds to cross a telegraph post, find the time taken by the trains to cross each other completely?
  • a)
    1 seconds
  • b)
    3 seconds
  • c)
    5 seconds
  • d)
    7 seconds
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The speeds of two trains are in the ratio 3 : 4. They are going in op...
Speed of both trains = 3 : 4
×3 ↓ : ↓ ×3 → time
Length = 9m : 12m
Time = D / S = L1 + L2 / S1 + S2 = 9 + 12 / 4 + 3 = 2 / 14 + 3
= 3 Sec
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Most Upvoted Answer
The speeds of two trains are in the ratio 3 : 4. They are going in op...
Given:
- The speeds of two trains are in the ratio 3:4.
- Each train takes 3 seconds to cross a telegraph post.

Approach:
- Let the speeds of the two trains be 3x and 4x.
- When the trains are going in opposite directions, their relative speed will be the sum of their speeds.
- The time taken by the trains to cross each other completely can be calculated using the formula:
Time = Total distance / Relative speed

Calculation:
- Total distance covered by both trains = Length of one train + Length of the other train
- Let the length of each train be L.
- Total distance = 2L
- Relative speed = 3x + 4x = 7x
- Time = 2L / 7x
- Given that each train takes 3 seconds to cross a telegraph post, the length of each train is equal to the distance it covers in 3 seconds at its speed.
- Length of each train = Speed of the train x Time taken = 3x * 3 = 9x
- Substituting the length of each train in the time formula:
Time = 2(9x) / 7x
Time = 18x / 7x
Time = 2.57 seconds

Conclusion:
- Therefore, the time taken by the trains to cross each other completely is approximately 3 seconds. Hence, option (b) is the correct answer.
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The speeds of two trains are in the ratio 3 : 4. They are going in opposite directions along parallel tracks. If each takes 3 seconds to cross a telegraph post, find the time taken by the trains to cross each other completely?a)1 secondsb)3 secondsc)5 secondsd)7 secondsCorrect answer is option 'B'. Can you explain this answer?
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