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Car A is 20 miles behind Car B, which is traveling in the opposite direction along the same route as Car A. Car A is traveling at a constant speed of 65 miles per hour and Car B is traveling at a constant speed of 55 miles per hour. Approximately how many minutes will it take for Car A and B be on a 20 miles distance from each other again?
- a)10
- b)200
- c)20
- d)45
- e)36
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
Car A is 20 miles behind Car B, which is traveling in the opposite dir...
Understanding the Scenario
Car A is traveling towards Car B at 65 mph, while Car B is moving in the opposite direction at 55 mph. Initially, Car A is 20 miles behind Car B.
Relative Speed Calculation
- The speeds of Car A and Car B are additive when they are moving towards each other.
- Thus, the relative speed = Speed of Car A + Speed of Car B
- Relative speed = 65 mph + 55 mph = 120 mph
Time to Close the Initial Gap
- The initial distance between the two cars is 20 miles.
- To find the time it takes for Car A to close this gap, use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Relative Speed}} \]
- Time = \( \frac{20 \text{ miles}}{120 \text{ mph}} \) = \( \frac{1}{6} \) hours
Converting Hours to Minutes
- To convert hours into minutes, multiply by 60:
\[ \frac{1}{6} \text{ hours} \times 60 \text{ minutes/hour} = 10 \text{ minutes} \]
Time for Distance to Increase Again
After meeting, Car A needs to move away from Car B to create a distance of 20 miles again. This is where the next calculation comes into play.
- The time taken to reach a 20-mile distance after they first meet can be calculated with the same relative speed.
- Distance = 20 miles and Speed = 120 mph.
- Time = \( \frac{20 \text{ miles}}{120 \text{ mph}} = \frac{1}{6} \) hours = 10 minutes.
Thus, the total time for Car A and Car B to be 20 miles apart again is:
- \( 10 \text{ minutes} (to meet) + 10 \text{ minutes} (to separate) = 20 \text{ minutes} \)
Therefore, the correct answer is option C: 20 minutes.
Car A is traveling towards Car B at 65 mph, while Car B is moving in the opposite direction at 55 mph. Initially, Car A is 20 miles behind Car B.
Relative Speed Calculation
- The speeds of Car A and Car B are additive when they are moving towards each other.
- Thus, the relative speed = Speed of Car A + Speed of Car B
- Relative speed = 65 mph + 55 mph = 120 mph
Time to Close the Initial Gap
- The initial distance between the two cars is 20 miles.
- To find the time it takes for Car A to close this gap, use the formula:
\[ \text{Time} = \frac{\text{Distance}}{\text{Relative Speed}} \]
- Time = \( \frac{20 \text{ miles}}{120 \text{ mph}} \) = \( \frac{1}{6} \) hours
Converting Hours to Minutes
- To convert hours into minutes, multiply by 60:
\[ \frac{1}{6} \text{ hours} \times 60 \text{ minutes/hour} = 10 \text{ minutes} \]
Time for Distance to Increase Again
After meeting, Car A needs to move away from Car B to create a distance of 20 miles again. This is where the next calculation comes into play.
- The time taken to reach a 20-mile distance after they first meet can be calculated with the same relative speed.
- Distance = 20 miles and Speed = 120 mph.
- Time = \( \frac{20 \text{ miles}}{120 \text{ mph}} = \frac{1}{6} \) hours = 10 minutes.
Thus, the total time for Car A and Car B to be 20 miles apart again is:
- \( 10 \text{ minutes} (to meet) + 10 \text{ minutes} (to separate) = 20 \text{ minutes} \)
Therefore, the correct answer is option C: 20 minutes.
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Car A is 20 miles behind Car B, which is traveling in the opposite direction along the same route as Car A. Car A is traveling at a constant speed of 65 miles per hour and Car B is traveling at a constant speed of 55 miles per hour. Approximately how many minutes will it take for Car A and B be on a 20 miles distance from each other again?a)10b)200c)20d)45e)36Correct answer is option 'C'. Can you explain this answer?
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Car A is 20 miles behind Car B, which is traveling in the opposite direction along the same route as Car A. Car A is traveling at a constant speed of 65 miles per hour and Car B is traveling at a constant speed of 55 miles per hour. Approximately how many minutes will it take for Car A and B be on a 20 miles distance from each other again?a)10b)200c)20d)45e)36Correct answer is option 'C'. 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 Car A is 20 miles behind Car B, which is traveling in the opposite direction along the same route as Car A. Car A is traveling at a constant speed of 65 miles per hour and Car B is traveling at a constant speed of 55 miles per hour. Approximately how many minutes will it take for Car A and B be on a 20 miles distance from each other again?a)10b)200c)20d)45e)36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Car A is 20 miles behind Car B, which is traveling in the opposite direction along the same route as Car A. Car A is traveling at a constant speed of 65 miles per hour and Car B is traveling at a constant speed of 55 miles per hour. Approximately how many minutes will it take for Car A and B be on a 20 miles distance from each other again?a)10b)200c)20d)45e)36Correct answer is option 'C'. Can you explain this answer?.
Car A is 20 miles behind Car B, which is traveling in the opposite direction along the same route as Car A. Car A is traveling at a constant speed of 65 miles per hour and Car B is traveling at a constant speed of 55 miles per hour. Approximately how many minutes will it take for Car A and B be on a 20 miles distance from each other again?a)10b)200c)20d)45e)36Correct answer is option 'C'. 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 Car A is 20 miles behind Car B, which is traveling in the opposite direction along the same route as Car A. Car A is traveling at a constant speed of 65 miles per hour and Car B is traveling at a constant speed of 55 miles per hour. Approximately how many minutes will it take for Car A and B be on a 20 miles distance from each other again?a)10b)200c)20d)45e)36Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Car A is 20 miles behind Car B, which is traveling in the opposite direction along the same route as Car A. Car A is traveling at a constant speed of 65 miles per hour and Car B is traveling at a constant speed of 55 miles per hour. Approximately how many minutes will it take for Car A and B be on a 20 miles distance from each other again?a)10b)200c)20d)45e)36Correct answer is option 'C'. Can you explain this answer?.
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