Math Problem Statement
Question 7
Given is a question which is followed by two statements numbered I and II. Determine if the given statements are sufficient to answer the question. Question: Two cars A and B crosses a flyover in 10 minutes and 30 minutes respectively. Find the speed of Car A
Statements:
Car B travels at 50 kmph. Train A and B are traveling in opposite directions.
Incorrect-0 out of 1
One Statement I is sufficient to answer the question
If only Statement II is sufficient to answer the question
If both statement I and II are required to answer the questions
If both the statements are not enough to answer the question
Solution
Let's carefully analyze the problem and the two given statements.
Question:
Two cars A and B cross a flyover in 10 minutes and 30 minutes respectively. Find the speed of Car A.
Statement I:
Car B travels at 50 kmph.
Statement II:
Car A and B are traveling in opposite directions.
Analyzing the Statements:
Statement I: Car B travels at 50 kmph.
- This only gives us the speed of Car B. Since we are asked to find the speed of Car A, this alone is not sufficient because no direct relationship between the speed of Car A and Car B is provided.
Statement II: Car A and B are traveling in opposite directions.
- This only tells us the direction in which Car A and Car B are traveling relative to each other. It gives no information about the speed of Car A or Car B, so by itself, this statement is also insufficient.
Combining both Statements:
- Even with both statements, we do not have enough information to determine the speed of Car A. Knowing Car B's speed (50 kmph) and the fact that they are traveling in opposite directions doesn't help us find the speed of Car A because there's no relationship or equation that connects these variables to the time each car takes to cross the flyover. The crossing time alone is not enough to compute the speed without more specific details like the length of the flyover.
Conclusion:
Both the statements are not enough to answer the question.
Would you like more details or have any questions?
5 Related Questions:
- What additional information could help determine the speed of Car A?
- How can the length of the flyover impact the speed calculation?
- How is time related to speed and distance in general?
- How would the problem change if Car A and Car B were traveling in the same direction?
- Can we calculate the relative speed of two vehicles traveling in opposite directions?
Tip:
Always remember that speed is related to both time and distance, so to find speed, you need either a direct relationship between these variables or additional information about the distance involved.
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Math Problem Analysis
Mathematical Concepts
Speed and Distance
Relative Motion
Formulas
Speed = Distance / Time
Relative Speed in opposite directions = Speed of A + Speed of B
Theorems
Basic Speed-Distance-Time relationship
Suitable Grade Level
Grades 9-10
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