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Rakesh traveled from city A to city B covering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?
- a)His average speed is the harmonic mean of the individual speeds for the two parts.
- b)His average speed is the arithmetic mean of the individual speeds for the two parts.
- c)His average speed is the geometric mean of the individual speeds for the two parts.
- d)Cannot be determined.
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Rakesh traveled from cityAto cityBcovering as much distance in the sec...
The first part is 1/3rd of the total distance and the second part is 2/3rd of the total distance. He travels at s km/hr speed during the first half and 2s km/hr speed during the second half.
Most Upvoted Answer
Rakesh traveled from cityAto cityBcovering as much distance in the sec...
Given Information:
- Rakesh traveled from city A to city B.
- The distance covered in the second part of the journey is equal to the distance covered in the first part.
- The speed during the second part is twice the speed during the first part.
To Find:
The average speed of the entire journey.
Approach:
Let's assume that the distance covered in each part of the journey is 'd' units. Let the speed during the first part be 'x' units per hour. Therefore, the speed during the second part is '2x' units per hour.
Solution:
Part 1:
- Distance covered = d units
- Speed = x units per hour
- Time taken = d/x hours
Part 2:
- Distance covered = d units
- Speed = 2x units per hour
- Time taken = d/(2x) hours
Total Time Taken (T):
- T = d/x + d/(2x) = (2d + d)/(2x) = 3d/(2x) hours
Average Speed (S):
- S = Total Distance/Total Time Taken = 2d/T = 2d/(3d/(2x)) = 4x/3 units per hour
Therefore, the average speed of the journey is (4x/3) units per hour.
Conclusion:
So, the correct answer is option 'B' - His average speed is the arithmetic mean of the individual speeds for the two parts.
- Rakesh traveled from city A to city B.
- The distance covered in the second part of the journey is equal to the distance covered in the first part.
- The speed during the second part is twice the speed during the first part.
To Find:
The average speed of the entire journey.
Approach:
Let's assume that the distance covered in each part of the journey is 'd' units. Let the speed during the first part be 'x' units per hour. Therefore, the speed during the second part is '2x' units per hour.
Solution:
Part 1:
- Distance covered = d units
- Speed = x units per hour
- Time taken = d/x hours
Part 2:
- Distance covered = d units
- Speed = 2x units per hour
- Time taken = d/(2x) hours
Total Time Taken (T):
- T = d/x + d/(2x) = (2d + d)/(2x) = 3d/(2x) hours
Average Speed (S):
- S = Total Distance/Total Time Taken = 2d/T = 2d/(3d/(2x)) = 4x/3 units per hour
Therefore, the average speed of the journey is (4x/3) units per hour.
Conclusion:
So, the correct answer is option 'B' - His average speed is the arithmetic mean of the individual speeds for the two parts.
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Rakesh traveled from cityAto cityBcovering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?a)His average speed is the harmonic mean of the individual speeds for the two parts.b)His average speed is the arithmetic mean of the individual speeds for the two parts.c)His average speed is the geometric mean of the individual speeds for the two parts.d)Cannot be determined.e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Rakesh traveled from cityAto cityBcovering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?a)His average speed is the harmonic mean of the individual speeds for the two parts.b)His average speed is the arithmetic mean of the individual speeds for the two parts.c)His average speed is the geometric mean of the individual speeds for the two parts.d)Cannot be determined.e)None of theseCorrect answer is option 'B'. 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 Rakesh traveled from cityAto cityBcovering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?a)His average speed is the harmonic mean of the individual speeds for the two parts.b)His average speed is the arithmetic mean of the individual speeds for the two parts.c)His average speed is the geometric mean of the individual speeds for the two parts.d)Cannot be determined.e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rakesh traveled from cityAto cityBcovering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?a)His average speed is the harmonic mean of the individual speeds for the two parts.b)His average speed is the arithmetic mean of the individual speeds for the two parts.c)His average speed is the geometric mean of the individual speeds for the two parts.d)Cannot be determined.e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Rakesh traveled from cityAto cityBcovering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?a)His average speed is the harmonic mean of the individual speeds for the two parts.b)His average speed is the arithmetic mean of the individual speeds for the two parts.c)His average speed is the geometric mean of the individual speeds for the two parts.d)Cannot be determined.e)None of theseCorrect answer is option 'B'. 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 Rakesh traveled from cityAto cityBcovering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?a)His average speed is the harmonic mean of the individual speeds for the two parts.b)His average speed is the arithmetic mean of the individual speeds for the two parts.c)His average speed is the geometric mean of the individual speeds for the two parts.d)Cannot be determined.e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Rakesh traveled from cityAto cityBcovering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?a)His average speed is the harmonic mean of the individual speeds for the two parts.b)His average speed is the arithmetic mean of the individual speeds for the two parts.c)His average speed is the geometric mean of the individual speeds for the two parts.d)Cannot be determined.e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Rakesh traveled from cityAto cityBcovering as much distance in the second part as he did in the first part of this journey. His speed during the second part was twice as that of the speed during the first part of the journey. What is his average speed of journey during the entire travel?a)His average speed is the harmonic mean of the individual speeds for the two parts.b)His average speed is the arithmetic mean of the individual speeds for the two parts.c)His average speed is the geometric mean of the individual speeds for the two parts.d)Cannot be determined.e)None of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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