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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
(2018)
  • a)
    10
  • b)
    11
  • c)
    12
  • d)
    13
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Point P lies between points A and B such that the length of BP is thri...
Let the time taken for car 1 to reach P from A be x hours.
Speed of car 1=AP/x BP = 3AP.
Car 2 starts from B to A and reaches P one hour after car 1 reaches P.
Speed of car 2 =
Now speed of car 2 =

∴  Time taken for car 1 to reach P from A is 12 min.
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Most Upvoted Answer
Point P lies between points A and B such that the length of BP is thri...
Let the time taken for car 1 to reach P from A be x hours.
Speed of car 1=AP/x BP = 3AP.
Car 2 starts from B to A and reaches P one hour after car 1 reaches P.
Speed of car 2 =
Now speed of car 2 =

∴  Time taken for car 1 to reach P from A is 12 min.
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Community Answer
Point P lies between points A and B such that the length of BP is thri...
Let's assume that the distance between points A and P is x km.

Let the speed of car 1 be v km/h. Then, the speed of car 2 will be v/2 km/h.

We are given that the length of BP is thrice that of AP. Therefore, the distance between points P and B is 3x km.

Let's calculate the time taken by car 1 to reach point P from A.

Time taken by car 1 = Distance / Speed = x / v

Now, let's calculate the time taken by car 2 to reach point P from B.

Time taken by car 2 = Distance / Speed = 3x / (v/2) = 6x / v

We are given that car 2 reaches point P one hour after car 1 reaches point P.

Therefore, 6x / v - x / v = 1

Simplifying the equation, we get:

5x / v = 1

x / v = 1/5

Now, let's calculate the time taken by car 1 to reach point P from A.

Time taken by car 1 = x / v = (1/5) / v

We know that 1 hour is equal to 60 minutes.

Therefore, the time taken by car 1 in minutes = (1/5) / v * 60

Since we are not given the value of v, we cannot calculate the exact time taken by car 1. However, we can conclude that the time taken by car 1 will be less than 12 minutes.

Hence, option C, 12 minutes, is the correct 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 is(2018)a)10b)11c)12d)13Correct answer is option 'C'. 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 is(2018)a)10b)11c)12d)13Correct answer is option 'C'. 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 is(2018)a)10b)11c)12d)13Correct answer is option 'C'. 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 is(2018)a)10b)11c)12d)13Correct answer is option 'C'. Can you explain this answer?.
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