Ayush and Ranjan are standing 20 km apart and start walking towards each…
2023
Ayush and Ranjan are standing 20 km apart and start walking towards each other. After how much time will they meet?
Statement (I): Ayush and Ranjan walk at speeds of 2 km/hr and 3 km/hr respectively.
Statement (II): The ratio of Ayush’s speed to Ranjan’s speed is 2:3.
- A.
The statement (I) alone is sufficient to answer the question while the statement (II) alone is not sufficient
- B.
The statement (II) alone is sufficient to answer the question while the statement (I) alone is not sufficient
- C.
Both statements (I) and (II) together are necessary to answer the question
- D.
Both statements (I) and (II) together are not sufficient to answer the question
Attempted by 63 students.
Show answer & explanation
Correct answer: A
Statement (I): When two people walk towards each other, their speeds add. Combined speed = 2 + 3 = 5 km/hr, so time = 20 ÷ 5 = 4 hours. Thus statement (I) alone is sufficient.
Statement (II): The ratio 2:3 gives only relative speeds. Without actual speeds, the meeting time cannot be determined. Thus statement (II) alone is not sufficient.
Conclusion: Statement (I) alone is sufficient, while statement (II) alone is not sufficient.