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Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the First city at a speed of 10km/hr and 5km/hr respectively. P reached the second city B and returns back and meets Q at Y. Find the distance between A and Y.
- a)40 km
- b)50 km
- c)30 km
- d)55 km
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Two cities A and B are at a distance of 60 km from each other. Two per...
Time taken by P to reach city B is 6hr. In 6 hr, distance covered by Q is 30km. Now at some x distance, they will meet. So
x/5 = (30-x)/10. X= 10.
So distance b/w A and Y is 30+10 =40 km
Therefore, the distance between A and Y is 40 km.
x/5 = (30-x)/10. X= 10.
So distance b/w A and Y is 30+10 =40 km
Therefore, the distance between A and Y is 40 km.
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Two cities A and B are at a distance of 60 km from each other. Two per...
Understanding the Problem
We have two cities, A and B, separated by a distance of 60 km. Two persons, P and Q, start from city A with different speeds. P travels at 10 km/hr, and Q travels at 5 km/hr.
Travel Details
- Distance from A to B: 60 km
- Speed of P: 10 km/hr
- Speed of Q: 5 km/hr
Time Calculation for P
1. Time taken by P to reach B:
- Time = Distance / Speed
- Time = 60 km / 10 km/hr = 6 hours
2. P's return trip:
- P will take another 6 hours to return to A, for a total of 12 hours for the round trip.
Distance Covered by Q
1. Distance covered by Q in 12 hours:
- Time = 12 hours
- Distance = Speed × Time
- Distance = 5 km/hr × 12 hours = 60 km
Meeting Point Y
- In the time P takes to complete his round trip (12 hours), Q travels a total of 60 km towards P.
- Since the total distance between A and B is 60 km, and Q has traveled 60 km towards A, he must have reached the meeting point Y.
Distance from A to Y
- Q, having traveled 60 km towards A, means he is now at city B when P returns.
- Therefore, to find the location of Y, we consider the distance P covered to meet Q.
Calculating Distance AY
1. After P meets Q at Y:
- P had already traveled from A to B (60 km), and now he meets Q on his way back at Y.
- He has traveled a total of 60 km towards B and is returning, meeting Q at Y.
2. Since Q was heading towards A with a speed of 5 km/hr for the entire duration, we calculate how far he would meet P on the return.
Final Calculation
- When P meets Q on his way back:
- The distance from A to Y is 40 km since P would have traveled back from B for 20 km when meeting Q (60 km total - 20 km back = 40 km from A).
Conclusion
Thus, the distance between city A and the meeting point Y is 40 km (Option A).
We have two cities, A and B, separated by a distance of 60 km. Two persons, P and Q, start from city A with different speeds. P travels at 10 km/hr, and Q travels at 5 km/hr.
Travel Details
- Distance from A to B: 60 km
- Speed of P: 10 km/hr
- Speed of Q: 5 km/hr
Time Calculation for P
1. Time taken by P to reach B:
- Time = Distance / Speed
- Time = 60 km / 10 km/hr = 6 hours
2. P's return trip:
- P will take another 6 hours to return to A, for a total of 12 hours for the round trip.
Distance Covered by Q
1. Distance covered by Q in 12 hours:
- Time = 12 hours
- Distance = Speed × Time
- Distance = 5 km/hr × 12 hours = 60 km
Meeting Point Y
- In the time P takes to complete his round trip (12 hours), Q travels a total of 60 km towards P.
- Since the total distance between A and B is 60 km, and Q has traveled 60 km towards A, he must have reached the meeting point Y.
Distance from A to Y
- Q, having traveled 60 km towards A, means he is now at city B when P returns.
- Therefore, to find the location of Y, we consider the distance P covered to meet Q.
Calculating Distance AY
1. After P meets Q at Y:
- P had already traveled from A to B (60 km), and now he meets Q on his way back at Y.
- He has traveled a total of 60 km towards B and is returning, meeting Q at Y.
2. Since Q was heading towards A with a speed of 5 km/hr for the entire duration, we calculate how far he would meet P on the return.
Final Calculation
- When P meets Q on his way back:
- The distance from A to Y is 40 km since P would have traveled back from B for 20 km when meeting Q (60 km total - 20 km back = 40 km from A).
Conclusion
Thus, the distance between city A and the meeting point Y is 40 km (Option A).
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Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the First city at a speed of 10km/hr and 5km/hr respectively. P reached the second city B and returns back and meets Q at Y. Find the distance between A and Y.a)40 kmb)50 kmc)30 kmd)55 kmCorrect answer is option 'A'. Can you explain this answer? for Interview Preparation 2025 is part of Interview Preparation preparation. The Question and answers have been prepared according to the Interview Preparation exam syllabus. Information about Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the First city at a speed of 10km/hr and 5km/hr respectively. P reached the second city B and returns back and meets Q at Y. Find the distance between A and Y.a)40 kmb)50 kmc)30 kmd)55 kmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Interview Preparation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the First city at a speed of 10km/hr and 5km/hr respectively. P reached the second city B and returns back and meets Q at Y. Find the distance between A and Y.a)40 kmb)50 kmc)30 kmd)55 kmCorrect answer is option 'A'. Can you explain this answer?.
Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the First city at a speed of 10km/hr and 5km/hr respectively. P reached the second city B and returns back and meets Q at Y. Find the distance between A and Y.a)40 kmb)50 kmc)30 kmd)55 kmCorrect answer is option 'A'. Can you explain this answer? for Interview Preparation 2025 is part of Interview Preparation preparation. The Question and answers have been prepared according to the Interview Preparation exam syllabus. Information about Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the First city at a speed of 10km/hr and 5km/hr respectively. P reached the second city B and returns back and meets Q at Y. Find the distance between A and Y.a)40 kmb)50 kmc)30 kmd)55 kmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Interview Preparation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the First city at a speed of 10km/hr and 5km/hr respectively. P reached the second city B and returns back and meets Q at Y. Find the distance between A and Y.a)40 kmb)50 kmc)30 kmd)55 kmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Two cities A and B are at a distance of 60 km from each other. Two persons P and Q start from the First city at a speed of 10km/hr and 5km/hr respectively. P reached the second city B and returns back and meets Q at Y. Find the distance between A and Y.a)40 kmb)50 kmc)30 kmd)55 kmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Interview Preparation.
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