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A police car accelerates quickly to 60 meters per second in order to pursue a minivan that is recklessly speeding along the highway at 45 meters per second. How long will it take the police car to catch up if the minivan is 600 meters ahead of the police car at the beginning of the chase?
- a)10 seconds
- b)15 seconds
- c)40 seconds
- d)50 seconds
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A police car accelerates quickly to 60 meters per second in order to p...
We can use the distance formula d = vt to figure out the problem. The two equations would be x = 45t and x + 600 = 60t.
We can approach the problem more intuitively by looking at the difference between their velocities, which is 15 m/s.
Every second, the police car can make up 15 meters in its chase, and the distance between them is 600 meters.
600 meters divided by 15 m/s gives us a value of 40 seconds.
We can approach the problem more intuitively by looking at the difference between their velocities, which is 15 m/s.
Every second, the police car can make up 15 meters in its chase, and the distance between them is 600 meters.
600 meters divided by 15 m/s gives us a value of 40 seconds.
Most Upvoted Answer
A police car accelerates quickly to 60 meters per second in order to p...
Understanding the Problem:
First, we need to understand the situation presented in the problem. A police car is chasing a minivan that is 600 meters ahead and traveling at a speed of 45 m/s. The police car accelerates quickly to 60 m/s in order to catch up with the minivan.
Calculating the Relative Speed:
In order to catch up with the minivan, the police car needs to cover the initial 600 meters between them. The relative speed between the police car and the minivan is 60 m/s - 45 m/s = 15 m/s.
Calculating the Time to Catch Up:
To calculate the time it will take for the police car to catch up with the minivan, we can use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
\[ \text{Time} = \frac{600 \text{ meters}}{15 \text{ m/s}} \]
\[ \text{Time} = 40 \text{ seconds} \]
Therefore, it will take the police car 40 seconds to catch up with the minivan that is 600 meters ahead. So, the correct answer is option c) 40 seconds.
First, we need to understand the situation presented in the problem. A police car is chasing a minivan that is 600 meters ahead and traveling at a speed of 45 m/s. The police car accelerates quickly to 60 m/s in order to catch up with the minivan.
Calculating the Relative Speed:
In order to catch up with the minivan, the police car needs to cover the initial 600 meters between them. The relative speed between the police car and the minivan is 60 m/s - 45 m/s = 15 m/s.
Calculating the Time to Catch Up:
To calculate the time it will take for the police car to catch up with the minivan, we can use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Speed}} \]
\[ \text{Time} = \frac{600 \text{ meters}}{15 \text{ m/s}} \]
\[ \text{Time} = 40 \text{ seconds} \]
Therefore, it will take the police car 40 seconds to catch up with the minivan that is 600 meters ahead. So, the correct answer is option c) 40 seconds.
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A police car accelerates quickly to 60 meters per second in order to pursue a minivan that is recklessly speeding along the highway at 45 meters per second. How long will it take the police car to catch up if the minivan is 600 meters ahead of the police car at the beginning of the chase?a)10 secondsb)15 secondsc)40 secondsd)50 secondsCorrect answer is option 'C'. Can you explain this answer? for MCAT 2025 is part of MCAT preparation. The Question and answers have been prepared according to the MCAT exam syllabus. Information about A police car accelerates quickly to 60 meters per second in order to pursue a minivan that is recklessly speeding along the highway at 45 meters per second. How long will it take the police car to catch up if the minivan is 600 meters ahead of the police car at the beginning of the chase?a)10 secondsb)15 secondsc)40 secondsd)50 secondsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for MCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A police car accelerates quickly to 60 meters per second in order to pursue a minivan that is recklessly speeding along the highway at 45 meters per second. How long will it take the police car to catch up if the minivan is 600 meters ahead of the police car at the beginning of the chase?a)10 secondsb)15 secondsc)40 secondsd)50 secondsCorrect answer is option 'C'. Can you explain this answer?.
A police car accelerates quickly to 60 meters per second in order to pursue a minivan that is recklessly speeding along the highway at 45 meters per second. How long will it take the police car to catch up if the minivan is 600 meters ahead of the police car at the beginning of the chase?a)10 secondsb)15 secondsc)40 secondsd)50 secondsCorrect answer is option 'C'. Can you explain this answer? for MCAT 2025 is part of MCAT preparation. The Question and answers have been prepared according to the MCAT exam syllabus. Information about A police car accelerates quickly to 60 meters per second in order to pursue a minivan that is recklessly speeding along the highway at 45 meters per second. How long will it take the police car to catch up if the minivan is 600 meters ahead of the police car at the beginning of the chase?a)10 secondsb)15 secondsc)40 secondsd)50 secondsCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for MCAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A police car accelerates quickly to 60 meters per second in order to pursue a minivan that is recklessly speeding along the highway at 45 meters per second. How long will it take the police car to catch up if the minivan is 600 meters ahead of the police car at the beginning of the chase?a)10 secondsb)15 secondsc)40 secondsd)50 secondsCorrect answer is option 'C'. Can you explain this answer?.
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