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A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.
Correct answer is '10.5 to 11.5'. Can you explain this answer?
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Understanding the Problem:
In this problem, a rabbit and a tortoise are participating in a race. The rabbit runs at a speed of 10 m/s, while the tortoise runs at a speed of 1 m/s. The tortoise is placed 100 meters ahead of the rabbit at the starting line. We need to find the time it takes for the rabbit to overtake the tortoise.
Calculating the Distance:
To find the time it takes for the rabbit to overtake the tortoise, we first need to calculate the distance the rabbit needs to cover to catch up with the tortoise. Since the tortoise starts 100 meters ahead, the distance the rabbit needs to cover is 100 meters.
Calculating the Relative Speed:
The relative speed between the rabbit and the tortoise is the difference in their speeds. In this case, the relative speed is 10 m/s - 1 m/s = 9 m/s. This means that the rabbit is gaining on the tortoise at a rate of 9 meters per second.
Calculating the Time:
To find the time it takes for the rabbit to cover the 100-meter distance, we can use the formula: time = distance / speed.
Substituting the values, we get:
time = 100 meters / 9 m/s ≈ 11.11 seconds.
Rounding the Time:
The question asks for the time to the nearest second. Since the time calculated is approximately 11.11 seconds, rounding it to the nearest second gives us 11 seconds.
Considering the Range:
The correct answer given is '10.5 to 11.5'. This means that the time it takes for the rabbit to overtake the tortoise can be anywhere between 10.5 seconds and 11.5 seconds. This range accounts for the slight approximation made when rounding the time to the nearest second.
Conclusion:
In conclusion, the time it takes for the rabbit to overtake the tortoise is approximately 11 seconds. However, due to the rounding approximation, the correct answer is given as '10.5 to 11.5' seconds, accounting for a range of possible times.
In this problem, a rabbit and a tortoise are participating in a race. The rabbit runs at a speed of 10 m/s, while the tortoise runs at a speed of 1 m/s. The tortoise is placed 100 meters ahead of the rabbit at the starting line. We need to find the time it takes for the rabbit to overtake the tortoise.
Calculating the Distance:
To find the time it takes for the rabbit to overtake the tortoise, we first need to calculate the distance the rabbit needs to cover to catch up with the tortoise. Since the tortoise starts 100 meters ahead, the distance the rabbit needs to cover is 100 meters.
Calculating the Relative Speed:
The relative speed between the rabbit and the tortoise is the difference in their speeds. In this case, the relative speed is 10 m/s - 1 m/s = 9 m/s. This means that the rabbit is gaining on the tortoise at a rate of 9 meters per second.
Calculating the Time:
To find the time it takes for the rabbit to cover the 100-meter distance, we can use the formula: time = distance / speed.
Substituting the values, we get:
time = 100 meters / 9 m/s ≈ 11.11 seconds.
Rounding the Time:
The question asks for the time to the nearest second. Since the time calculated is approximately 11.11 seconds, rounding it to the nearest second gives us 11 seconds.
Considering the Range:
The correct answer given is '10.5 to 11.5'. This means that the time it takes for the rabbit to overtake the tortoise can be anywhere between 10.5 seconds and 11.5 seconds. This range accounts for the slight approximation made when rounding the time to the nearest second.
Conclusion:
In conclusion, the time it takes for the rabbit to overtake the tortoise is approximately 11 seconds. However, due to the rounding approximation, the correct answer is given as '10.5 to 11.5' seconds, accounting for a range of possible times.
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A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer?
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A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer?.
A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer? for IIT JAM 2024 is part of IIT JAM preparation. The Question and answers have been prepared according to the IIT JAM exam syllabus. Information about A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer? covers all topics & solutions for IIT JAM 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer?.
Solutions for A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer? in English & in Hindi are available as part of our courses for IIT JAM.
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A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer?, a detailed solution for A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer? has been provided alongside types of A rabbit and a tortoise are running a race. Rabbit runs at 10 m/s, while tortoise runs at 1 m/s. Because the tortoise is slower, it is placed 100 meters ahead of the rabbit. After the race starts, the time (in seconds) after which the rabbit overtakes the tortoise is __________.Correct answer is '10.5 to 11.5'. Can you explain this answer? theory, EduRev gives you an
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