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Two points A and B are rically opposite points on a circular road of circumference 12 km. A cyclist started from A and made three rounds. He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round. What is the interval between the first time he passes through B and the third time he passes through B?
Correct answer is '100'. Can you explain this answer?
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Problem statement: A cyclist started from point A and made three rounds on a circular road of circumference 12 km. He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round. What is the interval between the first time he passes through B and the third time he passes through B?
Solution:
Therefore, the interval between the first and third time the cyclist passes through point B is 100.
Solution:
- Calculate the time taken for each round:
- For the first round, the speed of the cyclist is 12 kmph.
- Therefore, the time taken to complete one round is 1 hour (12/12).
- For the second round, the speed of the cyclist is 9 kmph.
- Therefore, the time taken to complete one round is 4/3 hours (12/9).
- For the third round, the speed of the cyclist is 6 kmph.
- Therefore, the time taken to complete one round is 2 hours (12/6).
- Calculate the time taken to pass through point B:
- For the first round, the cyclist passes through point B after 1/3 hour (1/3 x 12 = 4 km).
- For the second round, the cyclist passes through point B after 1 + 4/3 = 7/3 hours (7/3 x 9 = 21 km).
- For the third round, the cyclist passes through point B after 2 + 4/3 = 10/3 hours (10/3 x 6 = 20 km).
- Calculate the interval between the first and third time the cyclist passes through point B:
- The cyclist passes through point B for the first time after 1/3 hour.
- The cyclist passes through point B for the third time after 10/3 hours.
- Therefore, the interval between the first and third time the cyclist passes through point B is 10/3 - 1/3 = 3 hours.
- Convert hours to minutes: 3 x 60 = 180 minutes.
- Convert minutes to seconds: 180 x 60 = 10,800 seconds.
- Therefore, the interval between the first and third time the cyclist passes through point B is 10,800 seconds or 100 minutes (rounded to the nearest minute).
Therefore, the interval between the first and third time the cyclist passes through point B is 100.
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Two points A and B are rically opposite points on a circular road of circumference 12 km. A cyclist started from A and made three rounds. He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round. What is the interval between the first time he passes through B and the third time he passes through B?Correct answer is '100'. Can you explain this answer?
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Two points A and B are rically opposite points on a circular road of circumference 12 km. A cyclist started from A and made three rounds. He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round. What is the interval between the first time he passes through B and the third time he passes through B?Correct answer is '100'. 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 points A and B are rically opposite points on a circular road of circumference 12 km. A cyclist started from A and made three rounds. He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round. What is the interval between the first time he passes through B and the third time he passes through B?Correct answer is '100'. 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 points A and B are rically opposite points on a circular road of circumference 12 km. A cyclist started from A and made three rounds. He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round. What is the interval between the first time he passes through B and the third time he passes through B?Correct answer is '100'. Can you explain this answer?.
Two points A and B are rically opposite points on a circular road of circumference 12 km. A cyclist started from A and made three rounds. He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round. What is the interval between the first time he passes through B and the third time he passes through B?Correct answer is '100'. 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 points A and B are rically opposite points on a circular road of circumference 12 km. A cyclist started from A and made three rounds. He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round. What is the interval between the first time he passes through B and the third time he passes through B?Correct answer is '100'. 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 points A and B are rically opposite points on a circular road of circumference 12 km. A cyclist started from A and made three rounds. He made the first round with a speed of 12 kmph and decreased his speed by 3 kmph for every round. What is the interval between the first time he passes through B and the third time he passes through B?Correct answer is '100'. Can you explain this answer?.
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