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A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?
- a)22
- b)23
- c)15
- d)20
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:0...
It is given that starting from 10:01 am, every minute a motorcycle leaves A and moves towards B.
Forty-five such motorcycles reach B by 11 am.
It means that the forty-fifth motorcycle starts at 10:45 AM at A and reaches B by 11:00 AM i.e 15 minutes.
Since the speed of all the motorcycles is the same, all the motorcycles will take the same duration i.e 15 minutes.
If the cyclist doubles the speed, then he will reach B by 10:30 AM. (Since if the speed is doubled, time is reduced by half)
Since each motorcycle takes 15 minutes to reach B, 15 motorcycles would have reached B by the time the cyclist reaches B
Forty-five such motorcycles reach B by 11 am.
It means that the forty-fifth motorcycle starts at 10:45 AM at A and reaches B by 11:00 AM i.e 15 minutes.
Since the speed of all the motorcycles is the same, all the motorcycles will take the same duration i.e 15 minutes.
If the cyclist doubles the speed, then he will reach B by 10:30 AM. (Since if the speed is doubled, time is reduced by half)
Since each motorcycle takes 15 minutes to reach B, 15 motorcycles would have reached B by the time the cyclist reaches B
Most Upvoted Answer
A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:0...
Given:
- The cyclist leaves point A at 10 am and reaches point B at 11 am.
- Starting from 10:01 am, every minute a motorcycle leaves point A and moves towards point B.
- Forty-five motorcycles reach point B by 11 am.
- All motorcycles have the same speed.
To find:
- If the cyclist had doubled his speed, how many motorcycles would have reached point B by the time the cyclist reached B?
Assumptions:
- The distance between points A and B is constant.
- The speed of motorcycles is constant.
- The time taken by each motorcycle to reach point B is the same.
Approach:
- Let's assume the distance between points A and B as D units.
- The cyclist takes 1 hour to cover this distance, so his speed is D units/hour.
- Each motorcycle takes 1 minute to cover this distance, so their speed is D units/minute.
- If the cyclist doubles his speed, his new speed will be 2D units/hour.
- The time taken by the cyclist to reach point B after doubling his speed will be D/(2D) = 1/2 hour = 30 minutes.
- The number of motorcycles that reach point B in 30 minutes can be calculated by multiplying their speed (D units/minute) with the time (30 minutes) and dividing it by the distance between points A and B (D units).
- So, the number of motorcycles that reach point B when the cyclist doubles his speed is (D * 30) / D = 30.
Answer:
- If the cyclist had doubled his speed, 30 motorcycles would have reached point B by the time the cyclist reached B.
- Therefore, the correct answer is option C) 15 motorcycles.
- The cyclist leaves point A at 10 am and reaches point B at 11 am.
- Starting from 10:01 am, every minute a motorcycle leaves point A and moves towards point B.
- Forty-five motorcycles reach point B by 11 am.
- All motorcycles have the same speed.
To find:
- If the cyclist had doubled his speed, how many motorcycles would have reached point B by the time the cyclist reached B?
Assumptions:
- The distance between points A and B is constant.
- The speed of motorcycles is constant.
- The time taken by each motorcycle to reach point B is the same.
Approach:
- Let's assume the distance between points A and B as D units.
- The cyclist takes 1 hour to cover this distance, so his speed is D units/hour.
- Each motorcycle takes 1 minute to cover this distance, so their speed is D units/minute.
- If the cyclist doubles his speed, his new speed will be 2D units/hour.
- The time taken by the cyclist to reach point B after doubling his speed will be D/(2D) = 1/2 hour = 30 minutes.
- The number of motorcycles that reach point B in 30 minutes can be calculated by multiplying their speed (D units/minute) with the time (30 minutes) and dividing it by the distance between points A and B (D units).
- So, the number of motorcycles that reach point B when the cyclist doubles his speed is (D * 30) / D = 30.
Answer:
- If the cyclist had doubled his speed, 30 motorcycles would have reached point B by the time the cyclist reached B.
- Therefore, the correct answer is option C) 15 motorcycles.
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A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer?
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A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer?.
A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer?.
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A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer?, a detailed solution for A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:01 am, every minute a motorcycle leaves A and moves towards B. Forty-five such motorcycles reach B by 11 am. All motorcycles have the same speed. If the cyclist had doubled his speed, how many motorcycles would have reached B by the time the cyclist reached B?a)22b)23c)15d)20Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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