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Shree started traveling from a place A to B and Priya started traveling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Shree increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at B and A respectively at the same time.
Quantity I: Initial Speed of Shree
Quantity II: Initial Speed of Priya
  • a)
    Quantity I > Quantity II
  • b)
    Quantity I < Quantity II
  • c)
    Quantity I ≥ Quantity II
  • d)
    Quantity I ≤ Quantity II
  • e)
    Quantity I = Quantity II or relation cannot be established
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Shree started traveling from a place A to B and Priya started travelin...
Understanding the Problem
Shree and Priya travel towards each other from points A and B, respectively, which are 576 km apart. They meet after 12 hours of travel, and post-meeting, they adjust their speeds and arrive at their destinations simultaneously.
Key Information
- Distance between A and B: 576 km
- Time until they meet: 12 hours
Distance Traveled Before Meeting
Let:
- Shree's initial speed = S km/hr
- Priya's initial speed = P km/hr
The distance covered when they meet can be represented as:
- Distance by Shree = 12S
- Distance by Priya = 12P
Since they are moving towards each other:
- 12S + 12P = 576
- S + P = 48
Post-Meeting Speeds
After meeting:
- Shree’s speed becomes (S + 2) km/hr
- Priya’s speed becomes (P - 2) km/hr
Let the remaining distance for Shree to B be (576 - 12S) km and for Priya to A be (576 - 12P) km.
Time Taken After Meeting
Both arrive at their destinations at the same time:
- Time for Shree to reach B = (576 - 12S) / (S + 2)
- Time for Priya to reach A = (576 - 12P) / (P - 2)
Since both times are equal:
(576 - 12S) / (S + 2) = (576 - 12P) / (P - 2)
Analyzing the Speeds
By substituting S + P = 48 into the equation and simplifying, you will find that Shree's initial speed must be less than Priya's initial speed to satisfy their equal arrival times after adjusting their speeds.
Conclusion
Thus, we conclude:
- Quantity I (Shree's speed) < quantity="" ii="" (priya's="" />
The correct answer is option 'B': Quantity I < quantity="" ii.="" quantity="" />
Free Test
Community Answer
Shree started traveling from a place A to B and Priya started travelin...
Sum of their speeds = Distance/time = 576/12 = 48 kmph
Respective Speed of Shree and Priya = (23 + 25) = 48 kmph
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Question Description
Shree started traveling from a place A to B and Priya started traveling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Shree increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at B and A respectively at the same time.Quantity I: Initial Speed of ShreeQuantity II: Initial Speed of Priyaa)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'B'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Shree started traveling from a place A to B and Priya started traveling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Shree increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at B and A respectively at the same time.Quantity I: Initial Speed of ShreeQuantity II: Initial Speed of Priyaa)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Shree started traveling from a place A to B and Priya started traveling from a place B to A which are 576 km apart. They meet after 12 hours. After their meeting, Shree increased her speed by 2 km/hr and Priya reduced her speed by 2 km/hr, they arrived at B and A respectively at the same time.Quantity I: Initial Speed of ShreeQuantity II: Initial Speed of Priyaa)Quantity I > Quantity IIb)Quantity I < Quantity IIc)Quantity I ≥ Quantity IId)Quantity I ≤ Quantity IIe)Quantity I = Quantity II or relation cannot be establishedCorrect answer is option 'B'. Can you explain this answer?.
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