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Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?
- a)60
- b)72
- c)84
- d)90
- e)108
Correct answer is option 'E'. Can you explain this answer?
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Verified Answer
Tom and Linda stand at point A. Linda begins to walk in a straight lin...
The formula to calculate distance is Distance = (Rate)(Time). So at any given moment Tom's distance (let's call it DT) can be expressed as DT = 6T. So, at any given moment, Linda's distance (let's call it DL) can be expressed as DL = 2(T + 1) (remember, Linda's time is one hour more than Tom's). The question asks us to find the positive difference between the amount of time it takes Tom to cover half of Linda's distance and the time it takes him to cover twice her distance. Let's find each time separately first.
When Tom has covered half of Linda's distance, the following equation will hold: 6T = (2(T + 1))/2. We can solve for T:
6T = (2(T + 1))/2
6T = (2T + 2)/2
6T = T +1
5T = 1
T = 1/5
6T = (2(T + 1))/2
6T = (2T + 2)/2
6T = T +1
5T = 1
T = 1/5
So it will take Tom 1/5 hours, or 12 minutes, to cover half of Linda's distance. When Tom has covered twice Linda's distance, the following equation will hold: 6T = 2(2(T + 1). We can solve for T:
6T = 2(2(T + 1)
6T = 2(2T + 2)
6T = 4T + 4
2T = 4
T = 2
6T = 2(2T + 2)
6T = 4T + 4
2T = 4
T = 2
So it will take Tom 2 hours, or 120 minutes, to cover twice Linda's distance.
We need to find the positive difference between these times: 120 – 12 = 108.
We need to find the positive difference between these times: 120 – 12 = 108.
The correct answer is E.
Most Upvoted Answer
Tom and Linda stand at point A. Linda begins to walk in a straight lin...
Given information:
- Linda walks away from Tom at a constant rate of 2 miles per hour.
- Tom begins jogging in the opposite direction after one hour at a constant rate of 6 miles per hour.
- Both Linda and Tom travel indefinitely.
To solve this problem, we need to find the time it takes for Tom to cover half of the distance Linda has covered and the time it takes for Tom to cover twice the distance Linda has covered. Let's break down the problem into steps.
Step 1: Calculate the distance Linda covers in one hour.
- Linda walks at a constant rate of 2 miles per hour.
- In one hour, Linda covers a distance of 2 miles.
Step 2: Calculate the distance Tom covers in one hour.
- Tom begins jogging after one hour at a constant rate of 6 miles per hour.
- In one hour, Tom covers a distance of 6 miles.
Step 3: Calculate the time it takes for Tom to cover half of the distance Linda has covered.
- Half of the distance Linda has covered is 2 miles / 2 = 1 mile.
- Tom covers a distance of 6 miles in one hour.
- Therefore, it would take Tom 1 mile / 6 miles per hour = 1/6 hour to cover half of the distance Linda has covered.
- Converting this time to minutes, we have 1/6 * 60 = 10 minutes.
Step 4: Calculate the time it takes for Tom to cover twice the distance Linda has covered.
- Twice the distance Linda has covered is 2 miles * 2 = 4 miles.
- Tom covers a distance of 6 miles in one hour.
- Therefore, it would take Tom 4 miles / 6 miles per hour = 4/6 hour to cover twice the distance Linda has covered.
- Converting this time to minutes, we have 4/6 * 60 = 40 minutes.
Step 5: Calculate the positive difference in time.
- The positive difference in time is 40 minutes - 10 minutes = 30 minutes.
Therefore, the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance Linda has covered and the amount of time it takes Tom to cover twice the distance Linda has covered is 30 minutes.
- Linda walks away from Tom at a constant rate of 2 miles per hour.
- Tom begins jogging in the opposite direction after one hour at a constant rate of 6 miles per hour.
- Both Linda and Tom travel indefinitely.
To solve this problem, we need to find the time it takes for Tom to cover half of the distance Linda has covered and the time it takes for Tom to cover twice the distance Linda has covered. Let's break down the problem into steps.
Step 1: Calculate the distance Linda covers in one hour.
- Linda walks at a constant rate of 2 miles per hour.
- In one hour, Linda covers a distance of 2 miles.
Step 2: Calculate the distance Tom covers in one hour.
- Tom begins jogging after one hour at a constant rate of 6 miles per hour.
- In one hour, Tom covers a distance of 6 miles.
Step 3: Calculate the time it takes for Tom to cover half of the distance Linda has covered.
- Half of the distance Linda has covered is 2 miles / 2 = 1 mile.
- Tom covers a distance of 6 miles in one hour.
- Therefore, it would take Tom 1 mile / 6 miles per hour = 1/6 hour to cover half of the distance Linda has covered.
- Converting this time to minutes, we have 1/6 * 60 = 10 minutes.
Step 4: Calculate the time it takes for Tom to cover twice the distance Linda has covered.
- Twice the distance Linda has covered is 2 miles * 2 = 4 miles.
- Tom covers a distance of 6 miles in one hour.
- Therefore, it would take Tom 4 miles / 6 miles per hour = 4/6 hour to cover twice the distance Linda has covered.
- Converting this time to minutes, we have 4/6 * 60 = 40 minutes.
Step 5: Calculate the positive difference in time.
- The positive difference in time is 40 minutes - 10 minutes = 30 minutes.
Therefore, the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance Linda has covered and the amount of time it takes Tom to cover twice the distance Linda has covered is 30 minutes.
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Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?a)60b)72c)84d)90e)108Correct answer is option 'E'. Can you explain this answer?
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Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?a)60b)72c)84d)90e)108Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?a)60b)72c)84d)90e)108Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?a)60b)72c)84d)90e)108Correct answer is option 'E'. Can you explain this answer?.
Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?a)60b)72c)84d)90e)108Correct answer is option 'E'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?a)60b)72c)84d)90e)108Correct answer is option 'E'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?a)60b)72c)84d)90e)108Correct answer is option 'E'. Can you explain this answer?.
Solutions for Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?a)60b)72c)84d)90e)108Correct answer is option 'E'. Can you explain this answer? in English & in Hindi are available as part of our courses for GMAT.
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