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Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?
- a)27 Km/hr
- b)36 Km/hr
- c)54 Km/hr
- d)60 Km/hr
- e)Cannot be determined
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Badri is travelling a distance of 540 Km from Place A to Place B. He c...
540/S = 180*(1/S-9 + 1/S-3 + 1/4*(S-9)
S = 27
S = 27
Most Upvoted Answer
Badri is travelling a distance of 540 Km from Place A to Place B. He c...
Understanding the Problem
Badri travels a total distance of 540 Km, divided into three equal parts, each covering 180 Km by different modes of transport: Cycle, Bike, and Car. We need to determine the average speed of the entire journey based on the given relationships between the speeds.
Setting Up the Speeds
- Let the speed of the Cycle be x Km/hr.
- Then, the speed of the Bike is (x + 6) Km/hr.
- The speed of the Car is (4x) Km/hr.
Calculating Time Taken for Each Segment
- Time on Cycle:
- Distance: 180 Km
- Time = Distance/Speed = 180/x hours
- Time on Bike:
- Distance: 180 Km
- Time = 180/(x + 6) hours
- Time on Car:
- Distance: 180 Km
- Time = 180/(4x) hours
Total Time for the Journey
- Total time = Time on Cycle + Time on Bike + Time on Car
- Total time = 180/x + 180/(x + 6) + 180/(4x)
Average Speed of the Journey
- Average speed = Total Distance / Total Time
- Average speed = 540 / (180/x + 180/(x + 6) + 180/(4x))
The average speed of the journey is given to be (x + 9) Km/hr, as per the problem statement.
Setting Up the Equation
- Equate the expressions for average speed:
540 / (180/x + 180/(x + 6) + 180/(4x)) = x + 9
After solving this equation, we find x = 18, meaning:
- Cycle speed = 18 Km/hr
- Bike speed = 24 Km/hr
- Car speed = 72 Km/hr
Final Calculation of Average Speed
Plugging values back, we find that the average speed of the entire journey is 27 Km/hr.
Thus, the correct answer is a) 27 Km/hr.
Badri travels a total distance of 540 Km, divided into three equal parts, each covering 180 Km by different modes of transport: Cycle, Bike, and Car. We need to determine the average speed of the entire journey based on the given relationships between the speeds.
Setting Up the Speeds
- Let the speed of the Cycle be x Km/hr.
- Then, the speed of the Bike is (x + 6) Km/hr.
- The speed of the Car is (4x) Km/hr.
Calculating Time Taken for Each Segment
- Time on Cycle:
- Distance: 180 Km
- Time = Distance/Speed = 180/x hours
- Time on Bike:
- Distance: 180 Km
- Time = 180/(x + 6) hours
- Time on Car:
- Distance: 180 Km
- Time = 180/(4x) hours
Total Time for the Journey
- Total time = Time on Cycle + Time on Bike + Time on Car
- Total time = 180/x + 180/(x + 6) + 180/(4x)
Average Speed of the Journey
- Average speed = Total Distance / Total Time
- Average speed = 540 / (180/x + 180/(x + 6) + 180/(4x))
The average speed of the journey is given to be (x + 9) Km/hr, as per the problem statement.
Setting Up the Equation
- Equate the expressions for average speed:
540 / (180/x + 180/(x + 6) + 180/(4x)) = x + 9
After solving this equation, we find x = 18, meaning:
- Cycle speed = 18 Km/hr
- Bike speed = 24 Km/hr
- Car speed = 72 Km/hr
Final Calculation of Average Speed
Plugging values back, we find that the average speed of the entire journey is 27 Km/hr.
Thus, the correct answer is a) 27 Km/hr.
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Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
Question Description
Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?.
Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Badri is travelling a distance of 540 Km from Place A to Place B. He covered first 1/3 rd distance by Cycle, Second 1/3 rd distance by Bike and the remaining distance by Car. The average speed of entire journey is 9 Km/hr more than the speed of the Cycle. Speed of Bike is 6 Km/hr more than Speed of Cycle, While speed of Car is 4 times that of the speed of the Cycle. Then what is the average speed of the journey?a)27 Km/hrb)36 Km/hrc)54 Km/hrd)60 Km/hre)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Quant tests.
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