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Two persons A and B start from the opposite ends of a 450 km straight track and run to and from between the two ends. The speed of the first person is 25 m/s and the speed of other is 35 m/s. They continue their motion for 10 hours. How many times did they pass each other?
- a)1
- b)4
- c)3
- d)2
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Two persons A and B start from the opposite ends of a 450 km straight ...
First person speed = 25 m/s * 18/5 = 90 kmph
Second person speed = 35 m/s * 18/5 = 126 kmph
First person covers 90 * 10 = 900km
900/450 = 2
Second person speed = 35 m/s * 18/5 = 126 kmph
First person covers 90 * 10 = 900km
900/450 = 2
Most Upvoted Answer
Two persons A and B start from the opposite ends of a 450 km straight ...
To solve this problem, we can analyze the distances covered by both persons A and B and see when they would meet each other.
Let's assume that person A starts from one end of the track and person B starts from the opposite end. They both start running towards each other.
- Distance covered by person A in 10 hours:
Speed of person A = 25 m/s
Time = 10 hours = 10 * 60 * 60 seconds = 36000 seconds
Distance = Speed * Time = 25 * 36000 = 900000 meters = 900 km
- Distance covered by person B in 10 hours:
Speed of person B = 35 m/s
Time = 10 hours = 10 * 60 * 60 seconds = 36000 seconds
Distance = Speed * Time = 35 * 36000 = 1260000 meters = 1260 km
So, person A covers a distance of 900 km and person B covers a distance of 1260 km in 10 hours.
Now, let's see when they meet each other.
- When person A starts from one end and person B starts from the other end, they meet for the first time when the total distance covered by both of them is equal to the length of the track.
- They meet for the second time when the total distance covered by both of them is equal to twice the length of the track.
- They meet for the third time when the total distance covered by both of them is equal to three times the length of the track.
- And so on...
Since the length of the track is 450 km, the total distance covered by both persons A and B would be a multiple of 450 km when they meet each other.
In this case, the total distance covered by both persons A and B is 900 km + 1260 km = 2160 km, which is equal to 4 times the length of the track (4 * 450 km).
Therefore, they would meet each other 4 times in the given 10 hours.
Hence, the correct answer is option D) 2
Let's assume that person A starts from one end of the track and person B starts from the opposite end. They both start running towards each other.
- Distance covered by person A in 10 hours:
Speed of person A = 25 m/s
Time = 10 hours = 10 * 60 * 60 seconds = 36000 seconds
Distance = Speed * Time = 25 * 36000 = 900000 meters = 900 km
- Distance covered by person B in 10 hours:
Speed of person B = 35 m/s
Time = 10 hours = 10 * 60 * 60 seconds = 36000 seconds
Distance = Speed * Time = 35 * 36000 = 1260000 meters = 1260 km
So, person A covers a distance of 900 km and person B covers a distance of 1260 km in 10 hours.
Now, let's see when they meet each other.
- When person A starts from one end and person B starts from the other end, they meet for the first time when the total distance covered by both of them is equal to the length of the track.
- They meet for the second time when the total distance covered by both of them is equal to twice the length of the track.
- They meet for the third time when the total distance covered by both of them is equal to three times the length of the track.
- And so on...
Since the length of the track is 450 km, the total distance covered by both persons A and B would be a multiple of 450 km when they meet each other.
In this case, the total distance covered by both persons A and B is 900 km + 1260 km = 2160 km, which is equal to 4 times the length of the track (4 * 450 km).
Therefore, they would meet each other 4 times in the given 10 hours.
Hence, the correct answer is option D) 2
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Two persons A and B start from the opposite ends of a 450 km straight track and run to and from between the two ends. The speed of thefirst person is 25 m/s and the speed of other is 35 m/s. They continue their motion for 10 hours. How many times did they pass each other?a)1b)4c)3d)2Correct answer is option 'D'. Can you explain this answer?
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Two persons A and B start from the opposite ends of a 450 km straight track and run to and from between the two ends. The speed of thefirst person is 25 m/s and the speed of other is 35 m/s. They continue their motion for 10 hours. How many times did they pass each other?a)1b)4c)3d)2Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two persons A and B start from the opposite ends of a 450 km straight track and run to and from between the two ends. The speed of thefirst person is 25 m/s and the speed of other is 35 m/s. They continue their motion for 10 hours. How many times did they pass each other?a)1b)4c)3d)2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two persons A and B start from the opposite ends of a 450 km straight track and run to and from between the two ends. The speed of thefirst person is 25 m/s and the speed of other is 35 m/s. They continue their motion for 10 hours. How many times did they pass each other?a)1b)4c)3d)2Correct answer is option 'D'. Can you explain this answer?.
Two persons A and B start from the opposite ends of a 450 km straight track and run to and from between the two ends. The speed of thefirst person is 25 m/s and the speed of other is 35 m/s. They continue their motion for 10 hours. How many times did they pass each other?a)1b)4c)3d)2Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two persons A and B start from the opposite ends of a 450 km straight track and run to and from between the two ends. The speed of thefirst person is 25 m/s and the speed of other is 35 m/s. They continue their motion for 10 hours. How many times did they pass each other?a)1b)4c)3d)2Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two persons A and B start from the opposite ends of a 450 km straight track and run to and from between the two ends. The speed of thefirst person is 25 m/s and the speed of other is 35 m/s. They continue their motion for 10 hours. How many times did they pass each other?a)1b)4c)3d)2Correct answer is option 'D'. Can you explain this answer?.
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