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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:...
It is given that starting from 10:01 am, every minute a motorcycle leaves A and moves towards B.
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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:...
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
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Community Answer
A cyclist leaves A at 10 am and reaches B at 11 am. Starting from 10:...
Let's break down the given information and solve the problem step by step:
1. Time of departure:
- The cyclist leaves point A at 10 am.
- The cyclist reaches point B at 11 am.
2. Motorcycles leaving A:
- Starting from 10:01 am, a motorcycle leaves A every minute.
- Forty-five motorcycles reach B by 11 am.
3. Speed of the motorcycles:
- All motorcycles have the same speed.
Now, let's calculate the time taken by the cyclist and the motorcycles to reach point B.
- Time taken by the cyclist: 11 am - 10 am = 1 hour.
Since the cyclist travels for 1 hour, we can assume that the cyclist's speed is 1 unit of distance per hour.
- Distance covered by the cyclist = 1 unit of distance.
Let's consider the speed of each motorcycle as 'v' units of distance per hour.
- Distance covered by each motorcycle = v * 1 hour = v units of distance.
Now, let's calculate the number of motorcycles that would have reached B by the time the cyclist reached B, if the cyclist had doubled his speed.
- If the cyclist's speed is doubled, it becomes 2 units of distance per hour.
- Distance covered by the cyclist = 2 units of distance.
Since the distance covered by each motorcycle is 'v' units of distance, the number of motorcycles that would have reached B can be calculated as:
Number of motorcycles = (Distance covered by the cyclist) / (Distance covered by each motorcycle)
= 2 / v
To find the number of motorcycles, we need to calculate the value of 'v'.
- The cyclist takes 1 hour to cover a distance of 1 unit.
- Therefore, the cyclist's speed is 1 unit of distance per hour.
Now, let's substitute the value of 'v' in the equation:
Number of motorcycles = 2 / 1
= 2
Therefore, if the cyclist had doubled his speed, only 2 motorcycles would have reached point B by the time the cyclist reached B.
Hence, the correct answer is option 'C' - 15.
1. Time of departure:
- The cyclist leaves point A at 10 am.
- The cyclist reaches point B at 11 am.
2. Motorcycles leaving A:
- Starting from 10:01 am, a motorcycle leaves A every minute.
- Forty-five motorcycles reach B by 11 am.
3. Speed of the motorcycles:
- All motorcycles have the same speed.
Now, let's calculate the time taken by the cyclist and the motorcycles to reach point B.
- Time taken by the cyclist: 11 am - 10 am = 1 hour.
Since the cyclist travels for 1 hour, we can assume that the cyclist's speed is 1 unit of distance per hour.
- Distance covered by the cyclist = 1 unit of distance.
Let's consider the speed of each motorcycle as 'v' units of distance per hour.
- Distance covered by each motorcycle = v * 1 hour = v units of distance.
Now, let's calculate the number of motorcycles that would have reached B by the time the cyclist reached B, if the cyclist had doubled his speed.
- If the cyclist's speed is doubled, it becomes 2 units of distance per hour.
- Distance covered by the cyclist = 2 units of distance.
Since the distance covered by each motorcycle is 'v' units of distance, the number of motorcycles that would have reached B can be calculated as:
Number of motorcycles = (Distance covered by the cyclist) / (Distance covered by each motorcycle)
= 2 / v
To find the number of motorcycles, we need to calculate the value of 'v'.
- The cyclist takes 1 hour to cover a distance of 1 unit.
- Therefore, the cyclist's speed is 1 unit of distance per hour.
Now, let's substitute the value of 'v' in the equation:
Number of motorcycles = 2 / 1
= 2
Therefore, if the cyclist had doubled his speed, only 2 motorcycles would have reached point B by the time the cyclist reached B.
Hence, the correct answer is option 'C' - 15.
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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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