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A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cat 
  • a)
    7 : 5
  • b)
    12 : 5
  • c)
    6 : 1
  • d)
    12 : 7
Correct answer is option 'C'. Can you explain this answer?
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A train approaches a tunnel AB. Inside the tunnel a cat located at a p...
Let the speed of train be u and the speed of cat be v and train whistles at a point T, x km away from A, then
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A train approaches a tunnel AB. Inside the tunnel a cat located at a p...
Let the speed of train be u and the speed of cat be v and train whistles at a point T, x km away from A, then
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A train approaches a tunnel AB. Inside the tunnel a cat located at a p...
Given:

- The cat is located at a point 5/12th of the distance AB measured from the entrance A.
- When the cat runs towards A, the train catches it at A.
- When the cat runs towards B, the train catches it at B.

To find: The ratio of the speed of the train to the speed of the cat.

Solution:

Let the distance between A and B be 'x' units.

Let the speed of the cat be 'c' units/sec.

Let the speed of the train be 't' units/sec.

When the cat runs towards A:

Let the distance between the cat and A be 'd' units.

The distance between the train and A is (x - d) units.

Time taken by the cat to cover the distance 'd' = d/c.

Time taken by the train to cover the distance (x - d) = (x - d)/t.

Since the train catches the cat at A, the time taken by both of them is the same.

Therefore, d/c = (x - d)/t.

Solving for 'd', we get d = (tx)/(t + c).

When the cat runs towards B:

Let the distance between the cat and B be 'e' units.

The distance between the train and B is (x - e) units.

Time taken by the cat to cover the distance 'e' = e/c.

Time taken by the train to cover the distance (x - e) = (x - e)/t.

Since the train catches the cat at B, the time taken by both of them is the same.

Therefore, e/c = (x - e)/t.

Solving for 'e', we get e = (tx)/(t + c).

Since the cat runs from a point 5/12th of the distance AB from A, we have d/e = 5/7.

Substituting the values of 'd' and 'e' from above, we get:

(tx)/(t + c) / (tx)/(t + c) = 5/7

Simplifying, we get:

t/c = 6/1

Therefore, the ratio of the speed of the train to the speed of the cat is 6:1.

Hence, option (c) is the correct answer.
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A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cata)7 : 5b)12 : 5c)6 : 1d)12 : 7Correct answer is option 'C'. Can you explain this answer?
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A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cata)7 : 5b)12 : 5c)6 : 1d)12 : 7Correct answer is option 'C'. Can you explain this answer? for SSC 2024 is part of SSC preparation. The Question and answers have been prepared according to the SSC exam syllabus. Information about A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cata)7 : 5b)12 : 5c)6 : 1d)12 : 7Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for SSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cata)7 : 5b)12 : 5c)6 : 1d)12 : 7Correct answer is option 'C'. Can you explain this answer?.
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Here you can find the meaning of A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cata)7 : 5b)12 : 5c)6 : 1d)12 : 7Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cata)7 : 5b)12 : 5c)6 : 1d)12 : 7Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cata)7 : 5b)12 : 5c)6 : 1d)12 : 7Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cata)7 : 5b)12 : 5c)6 : 1d)12 : 7Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice A train approaches a tunnel AB. Inside the tunnel a cat located at a point i.e. 5/12, of the distance AB measured from the entrance A. When the train whistles, the cat runs. If the cat moves to the entrance of the tunnel A, the train catches the cat exactly at the entrance. If the cat moves to the exit B, the train catches the cat at exactly the exit. Then fined the ratio of the speed of the train to the speed of the cata)7 : 5b)12 : 5c)6 : 1d)12 : 7Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice SSC tests.
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