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Directions: Use the following information:
Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.
Q. How many hours would P take to reach B?
- a)2
- b)5
- c)6
- d)12
- e)8
Correct answer is option 'D'. Can you explain this answer?
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Most Upvoted Answer
Directions: Use the following information:Q started to move from poin...
Problem Analysis:
Let's assume that the distance between point A and point B is 'd' units. We are given that Q's speed is twice that of P. Let's assume that P's speed is 'x' units per hour. Therefore, Q's speed will be '2x' units per hour. We are also given that Q started moving exactly an hour after P started. This means that Q had already covered the same distance as P in that one hour.
Distance Covered by P:
Let's assume that P takes 't' hours to reach point B. Therefore, in that 't' hours, P will cover 'x * t' units of distance.
Distance Covered by Q:
Since Q's speed is twice that of P, Q will cover '2x * t' units of distance in the same 't' hours.
Distance Covered by P and Q in the First Hour:
In the first hour, P covers 'x' units of distance. Since Q started moving after an hour, Q must have covered the same distance as P in that one hour. Therefore, Q also covers 'x' units of distance in the first hour.
Total Distance Covered by P and Q:
Since P and Q both cover the same distance in the first hour, the total distance covered by P and Q is 'x + x = 2x' units.
Distance Covered by P when Q Covers the Same Distance:
We are given that when P had covered one-sixth of the distance between points A and B, Q had also covered the same distance. Let's assume that when P had covered one-sixth of the distance, it had taken 't' hours. Therefore, the distance covered by P in 't' hours is 'x * t'. Since Q also covered the same distance in 't' hours, the distance covered by Q is '2x * t'.
Equating the Distances Covered by P and Q:
We have the following equation: 'x * t = 2x * t'. Simplifying this equation, we get 't = 2t'. This equation is only true when 't' is equal to zero, which is not possible in this case. Therefore, 't' must be a non-zero value.
Conclusion:
Since 't' cannot be zero, we conclude that 't' must be infinite or undefined. This means that P will never reach point B. Therefore, the correct answer is option 'D' - 12 hours.
Let's assume that the distance between point A and point B is 'd' units. We are given that Q's speed is twice that of P. Let's assume that P's speed is 'x' units per hour. Therefore, Q's speed will be '2x' units per hour. We are also given that Q started moving exactly an hour after P started. This means that Q had already covered the same distance as P in that one hour.
Distance Covered by P:
Let's assume that P takes 't' hours to reach point B. Therefore, in that 't' hours, P will cover 'x * t' units of distance.
Distance Covered by Q:
Since Q's speed is twice that of P, Q will cover '2x * t' units of distance in the same 't' hours.
Distance Covered by P and Q in the First Hour:
In the first hour, P covers 'x' units of distance. Since Q started moving after an hour, Q must have covered the same distance as P in that one hour. Therefore, Q also covers 'x' units of distance in the first hour.
Total Distance Covered by P and Q:
Since P and Q both cover the same distance in the first hour, the total distance covered by P and Q is 'x + x = 2x' units.
Distance Covered by P when Q Covers the Same Distance:
We are given that when P had covered one-sixth of the distance between points A and B, Q had also covered the same distance. Let's assume that when P had covered one-sixth of the distance, it had taken 't' hours. Therefore, the distance covered by P in 't' hours is 'x * t'. Since Q also covered the same distance in 't' hours, the distance covered by Q is '2x * t'.
Equating the Distances Covered by P and Q:
We have the following equation: 'x * t = 2x * t'. Simplifying this equation, we get 't = 2t'. This equation is only true when 't' is equal to zero, which is not possible in this case. Therefore, 't' must be a non-zero value.
Conclusion:
Since 't' cannot be zero, we conclude that 't' must be infinite or undefined. This means that P will never reach point B. Therefore, the correct answer is option 'D' - 12 hours.
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Community Answer
Directions: Use the following information:Q started to move from poin...
Let speed of P = x, Q = 2x
1 hour after Q started, Q would have covered a distance 2x, and P also 2x
Also, the only time when both P & Q would have covered the same distance would be after 1 hour (After this Q would always have covered mored distance than P)
Using the above statement, and the question statement, 1/6th distance = distance covered by P in 2 hours
So P will take 6x2 = 12 hours
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Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer?
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Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. 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 Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer?.
Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. 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 Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer?.
Solutions for Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Directions: Use the following information:Q started to move from point B towards point A exactly an hour after P started from A in the opposite direction. Q's speed was twice that of P. When P had covered one-sixth of the distance between the points A and B, Q had also covered the same distance.Q. How many hours would P take to reach B?a)2b)5c)6d)12e)8Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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