Given below is a question followed by 2 statements.
Which of the following statement(s) is/are sufficient to answer the question?
Question: What is the speed of car "x"?
Statements:
I. Car "x" takes 3 times the time taken by car "y" to cover a certain distance
II. The speed of car "y" is 120 kmph.
Which of the following statement(s) is/are sufficient to answer the question?
Question: What is the speed of car "x"?
Statements:
I. Car "x" takes 3 times the time taken by car "y" to cover a certain distance
II. The speed of car "y" is 120 kmph.
- Statement I alone is sufficient
- Statement II alone is sufficient
- Both statements I and II together are sufficient
- Neither statement I nor statement II are sufficient
The Correct Option is C
Solution and Explanation
We are asked to find the speed of car ”x.” Statement I tells us that car ”x” takes 3 times the time taken by car ”y” to cover the same distance. Statement II tells us the speed of car ”y” is 120 km/h.
To find the speed of car ”x,” we use the relationship between speed, distance, and time:
Speed = Distance / Time
Since car ”x” takes 3 times longer than car ”y” for the same distance, we can say that the time taken by car ”x” is 3 times the time taken by car ”y.” The speed of car ”x” is therefore one third of the speed of car ”y.”
Given that the speed of car ”y” is 120 km/h, the speed of car ”x” is:
Speed of car ”x” = 120 / 3 = 40 km/h
Conclusion: Thus, the correct answer is (C) Both statements I and II together are sufficient
Top Questions on Statements and Assumptions
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