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Train 'A' running at a certain speed cro...

Train 'A' running at a certain speed crosses another train 'B' running at a certain speed in the length of train 'B'?
I. The length of both the trains together is 450 meters.
II. Train 'A' is slower than train 'B'.

A

if the data in Statement I alone are sufficient to answer the question, while the data in statement II alone are not sufficient to answer to question.

B

if the data in statement Ii alone are sufficient to answer the questin, while the data in statemetn I alone are not suffcient to answer the question.

C

if the data wither in statement I alone or in statement II alone are sufficient to answer the question.

D

if the data event in both the statements I and II together are necessary to answer the question.

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AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine if we can find the time it takes for Train A to cross Train B using the information provided in the statements. ### Step-by-Step Solution: 1. **Understanding the Problem**: - Train A crosses Train B in the length of Train B. This means that the time taken for Train A to completely pass Train B is equal to the length of Train B divided by the relative speed of the two trains. 2. **Analyzing Statement I**: - Statement I tells us that the length of both trains together is 450 meters. - Let the length of Train A be \( L_A \) and the length of Train B be \( L_B \). - From this statement, we can write: \[ L_A + L_B = 450 \text{ meters} \] - However, this does not provide us with the individual lengths of the trains, nor does it give us any information about their speeds. 3. **Analyzing Statement II**: - Statement II states that Train A is slower than Train B. - This means that the speed of Train A (\( S_A \)) is less than the speed of Train B (\( S_B \)), or: \[ S_A < S_B \] - While this gives us a relationship between the speeds, it does not provide any specific values or allow us to calculate the time taken for Train A to cross Train B. 4. **Combining Statements I and II**: - Even when we combine both statements, we still do not have enough information to determine the individual lengths of the trains or their speeds. - We have: \[ L_A + L_B = 450 \] and \[ S_A < S_B \] - Without specific values for either the lengths or the speeds, we cannot calculate the time taken for Train A to cross Train B. 5. **Conclusion**: - Since neither statement alone nor their combination provides sufficient information to determine the time taken for Train A to cross Train B, we conclude that the answer is that we cannot determine the required information. ### Final Answer: - The answer is: **Neither statement I nor statement II is sufficient to answer the question.**

To solve the problem, we need to determine if we can find the time it takes for Train A to cross Train B using the information provided in the statements. ### Step-by-Step Solution: 1. **Understanding the Problem**: - Train A crosses Train B in the length of Train B. This means that the time taken for Train A to completely pass Train B is equal to the length of Train B divided by the relative speed of the two trains. 2. **Analyzing Statement I**: ...
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