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Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A is
Correct answer is '12'. Can you explain this answer?
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Verified Answer
Point P lies between points A and B such that the length of BP is thri...
Let the distance between A and B be 4x.
Length of BP is thrice the length of AP.
=> AP = x and BP = 3x
Let the speed of car 1 be s and the speed of car 2 be 0.5s.
Car 2 reaches P one hour (60 minutes) after Car 1 reaches P.
=> x/s + 60 = 3x/0.5s
x/s + 60 = 6x/s
5x/s = 60
x/s = 12
Time taken by car 1 in reaching P from A = x/s = 12 minutes.
Therefore, 12 is the correct answer.
Most Upvoted Answer
Point P lies between points A and B such that the length of BP is thri...
Given information:
- Point P lies between points A and B.
- Length of BP = 3 * Length of AP.
- Car 1 starts from A and moves towards B.
- Car 2 starts from B and moves towards A.
- Car 2 reaches P one hour after car 1 reaches P.
- Speed of car 2 = 1/2 * Speed of car 1.
To find: Time taken by car 1 in reaching P from A.
Let's assume:
- Length of AP = x units.
- Length of BP = 3x units.
- Speed of car 1 = v units/hr.
- Speed of car 2 = 1/2 * v units/hr.
Calculations:
- Time taken by car 1 to reach P from A = Length of AP / Speed of car 1.
- Time taken by car 2 to reach P from B = Length of BP / Speed of car 2.
- Distance traveled by car 1 = AP + BP = x + 3x = 4x units.
- Distance traveled by car 2 = BP = 3x units.
Now we can calculate the time taken by each car using the distance traveled and the speed of each car:
- Time taken by car 1 = Distance traveled by car 1 / Speed of car 1 = (4x units) / (v units/hr) = 4x/v hrs.
- Time taken by car 2 = Distance traveled by car 2 / Speed of car 2 = (3x units) / (1/2 * v units/hr) = 6x/v hrs.
According to the given information, car 2 reaches P one hour after car 1 reaches P. Therefore, the time taken by car 2 is equal to the time taken by car 1 plus 1 hour:
6x/v = 4x/v + 1.
Simplifying the equation:
6x = 4x + v.
2x = v.
Substituting the value of v in the equation for the time taken by car 1:
Time taken by car 1 = 4x/v = 4x/(2x) = 2 hrs.
Converting hours to minutes:
Time taken by car 1 = 2 hrs * 60 min/hr = 120 min.
Therefore, the time taken by car 1 in reaching P from A is 120 minutes or 2 hours.
- Point P lies between points A and B.
- Length of BP = 3 * Length of AP.
- Car 1 starts from A and moves towards B.
- Car 2 starts from B and moves towards A.
- Car 2 reaches P one hour after car 1 reaches P.
- Speed of car 2 = 1/2 * Speed of car 1.
To find: Time taken by car 1 in reaching P from A.
Let's assume:
- Length of AP = x units.
- Length of BP = 3x units.
- Speed of car 1 = v units/hr.
- Speed of car 2 = 1/2 * v units/hr.
Calculations:
- Time taken by car 1 to reach P from A = Length of AP / Speed of car 1.
- Time taken by car 2 to reach P from B = Length of BP / Speed of car 2.
- Distance traveled by car 1 = AP + BP = x + 3x = 4x units.
- Distance traveled by car 2 = BP = 3x units.
Now we can calculate the time taken by each car using the distance traveled and the speed of each car:
- Time taken by car 1 = Distance traveled by car 1 / Speed of car 1 = (4x units) / (v units/hr) = 4x/v hrs.
- Time taken by car 2 = Distance traveled by car 2 / Speed of car 2 = (3x units) / (1/2 * v units/hr) = 6x/v hrs.
According to the given information, car 2 reaches P one hour after car 1 reaches P. Therefore, the time taken by car 2 is equal to the time taken by car 1 plus 1 hour:
6x/v = 4x/v + 1.
Simplifying the equation:
6x = 4x + v.
2x = v.
Substituting the value of v in the equation for the time taken by car 1:
Time taken by car 1 = 4x/v = 4x/(2x) = 2 hrs.
Converting hours to minutes:
Time taken by car 1 = 2 hrs * 60 min/hr = 120 min.
Therefore, the time taken by car 1 in reaching P from A is 120 minutes or 2 hours.
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Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer?
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Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. 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 Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer?.
Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. 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 Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer?.
Solutions for Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer?, a detailed solution for Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer? has been provided alongside types of Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Point P lies between points A and B such that the length of BP is thrice that of AP. Car 1 starts from A and moves towards B. Simultaneously, car 2 starts from B and moves towards A. Car 2 reaches P one hour after car 1 reaches P. If the speed of car 2 is half that of car 1, then the time, in minutes, taken by car 1 in reaching P from A isCorrect answer is '12'. Can you explain this answer? tests, examples and also practice CAT tests.
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