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A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?
- a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.
- b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.
- c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.
- d)None of the above can be concluded
Correct answer is option 'B'. Can you explain this answer?
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A, B and C run around a circular track of the length 300 m. A and B ru...
Solution:
Let's assume that A, B and C meet x times and y times respectively.
Relative speed of A and C = (10 - 15) m/s = -5 m/s (as they are moving in opposite directions)
Relative speed of B and C = (12 + 15) m/s = 27 m/s (as they are moving in the same direction)
Time taken by A and B to meet again = LCM(300/10, 300/12) = LCM(30, 25) = 150 seconds
Time taken by C to meet A and B again = LCM(300/15, 300/27) = LCM(20, 11.11) = 220 seconds
1. Ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.
For a given period of time, the ratio of the number of meetings of B and C to the number of meetings of A and C can be calculated as follows:
- A and B meet after every 150 seconds, so they meet x times in 150 seconds.
- C meets A and B after every 220 seconds, so they meet y times in 220 seconds.
- Therefore, the ratio of the number of meetings of B and C to the number of meetings of A and C is y/x.
Substituting the values of x and y, we get:
y/x = 220/150
y/x > 1
Hence, option B is correct.
2. Ratio of the number of meeting points of A and C to the number of meeting points of B and C is not equal to 1.
The ratio of the number of meetings of A and C to the number of meetings of B and C can be calculated as follows:
- A and B meet after every 150 seconds, so they meet x times in 150 seconds.
- C meets A and B after every 220 seconds, so they meet y times in 220 seconds.
- Therefore, the ratio of the number of meetings of A and C to the number of meetings of B and C is x/y.
Substituting the values of x and y, we get:
x/y = 150/220
x/y ≠ 1
Hence, option C is incorrect.
3. None of the above can be concluded.
Since option B is correct, option D is incorrect.
Therefore, the correct answer is option B.
Let's assume that A, B and C meet x times and y times respectively.
Relative speed of A and C = (10 - 15) m/s = -5 m/s (as they are moving in opposite directions)
Relative speed of B and C = (12 + 15) m/s = 27 m/s (as they are moving in the same direction)
Time taken by A and B to meet again = LCM(300/10, 300/12) = LCM(30, 25) = 150 seconds
Time taken by C to meet A and B again = LCM(300/15, 300/27) = LCM(20, 11.11) = 220 seconds
1. Ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.
For a given period of time, the ratio of the number of meetings of B and C to the number of meetings of A and C can be calculated as follows:
- A and B meet after every 150 seconds, so they meet x times in 150 seconds.
- C meets A and B after every 220 seconds, so they meet y times in 220 seconds.
- Therefore, the ratio of the number of meetings of B and C to the number of meetings of A and C is y/x.
Substituting the values of x and y, we get:
y/x = 220/150
y/x > 1
Hence, option B is correct.
2. Ratio of the number of meeting points of A and C to the number of meeting points of B and C is not equal to 1.
The ratio of the number of meetings of A and C to the number of meetings of B and C can be calculated as follows:
- A and B meet after every 150 seconds, so they meet x times in 150 seconds.
- C meets A and B after every 220 seconds, so they meet y times in 220 seconds.
- Therefore, the ratio of the number of meetings of A and C to the number of meetings of B and C is x/y.
Substituting the values of x and y, we get:
x/y = 150/220
x/y ≠ 1
Hence, option C is incorrect.
3. None of the above can be concluded.
Since option B is correct, option D is incorrect.
Therefore, the correct answer is option B.
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A, B and C run around a circular track of the length 300 m. A and B ru...
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A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer?
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A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. 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 A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer?.
A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. 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 A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer?.
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A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A, B and C run around a circular track of the length 300 m. A and B run with speeds of 10 m/s and 12 m/s in the same direction respectively and C runs in the opposite direction with a speed of 15 m/s. If all the three start at the same time, which of the following is true?a)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is more than 1.b)For a given period of time, the ratio of the number of meeting points of B and C to the number of meeting points of A and C is more than 1.c)For a given period of time, the ratio of the number of meeting points of A and C to the number of meeting points of B and C is equal to 1.d)None of the above can be concludedCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
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