CAT Exam > CAT Questions > Two friends, A and B, start walking simultane...
Start Learning for Free
Two friends, A and B, start walking simultaneously from two points, P and Q, towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.
which are 100 m apart,
Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?
- a)100 m
- b)140 m
- c)800 m
- d)120 m
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Two friends, A and B, start walking simultaneously from two points, P ...
B reaches P for the first time after he walks 100 m.
And for the second time after he walks 300 m.
And for the third time after he walks 500 m.
In all the cases, during the time in which B walks 100 m to reach point P, A will walk 3/2 × 100 m = 150 m.
3/2 × 300 m = 450 m
3/2 × 500 m = 750 m, which is not a multiple of 100.
So, A and B never meet each other at P.
Hence, answer option D is correct.
Community Answer
Two friends, A and B, start walking simultaneously from two points, P ...
Problem Analysis:
Let's assume the speed of A is 3x m/s and the speed of B is 2x m/s. We are given that the distance between P and Q is 100m.
When A and B start walking simultaneously from P and Q, they will meet at some point between P and Q. Let's assume they meet at a distance of y meters from P. At this point, the distance covered by A is y meters and the distance covered by B is (100-y) meters.
After they meet, they start walking back towards their respective starting points. The time taken by A and B to reach P and Q respectively will be the same as the time taken by them to meet at the first point.
So, the distance covered by A while going back from the meeting point to P will be equal to the distance covered by B while going back from the meeting point to Q.
Let's say this distance is z meters.
The total distance traveled by A will be the sum of the distances covered by A while going from P to the meeting point, and from the meeting point to P while going back.
Solution:
Let's solve this problem step by step:
Step 1: Find the distance covered by A and B when they meet for the first time.
- The time taken by A to cover y meters is y/3x seconds.
- The time taken by B to cover (100-y) meters is (100-y)/2x seconds.
Since they both start simultaneously, these times should be equal.
y/3x = (100-y)/2x
Simplifying this equation, we get:
2y = 300 - 3y
5y = 300
y = 60
So, A and B meet for the first time at a distance of 60 meters from P.
Step 2: Find the distance covered by A while going back to P from the meeting point.
The distance covered by A while going back to P will be equal to the distance covered by B while going back to Q.
Let's say this distance is z meters.
Step 3: Find the value of z.
- The time taken by A to cover z meters is z/3x seconds.
- The time taken by B to cover z meters is z/2x seconds.
Since they both start simultaneously, these times should be equal.
z/3x = z/2x
Simplifying this equation, we get:
2z = 3z
z = 0
So, the distance covered by A while going back to P is 0 meters.
Step 4: Find the total distance traveled by A.
The total distance traveled by A is the sum of the distances covered by A while going from P to the meeting point (y = 60 meters), and from the meeting point to P while going back (z = 0 meters).
Total distance traveled by A = y + z = 60 + 0 = 60 meters.
Therefore, the correct answer is option D - They never meet at point P.
Let's assume the speed of A is 3x m/s and the speed of B is 2x m/s. We are given that the distance between P and Q is 100m.
When A and B start walking simultaneously from P and Q, they will meet at some point between P and Q. Let's assume they meet at a distance of y meters from P. At this point, the distance covered by A is y meters and the distance covered by B is (100-y) meters.
After they meet, they start walking back towards their respective starting points. The time taken by A and B to reach P and Q respectively will be the same as the time taken by them to meet at the first point.
So, the distance covered by A while going back from the meeting point to P will be equal to the distance covered by B while going back from the meeting point to Q.
Let's say this distance is z meters.
The total distance traveled by A will be the sum of the distances covered by A while going from P to the meeting point, and from the meeting point to P while going back.
Solution:
Let's solve this problem step by step:
Step 1: Find the distance covered by A and B when they meet for the first time.
- The time taken by A to cover y meters is y/3x seconds.
- The time taken by B to cover (100-y) meters is (100-y)/2x seconds.
Since they both start simultaneously, these times should be equal.
y/3x = (100-y)/2x
Simplifying this equation, we get:
2y = 300 - 3y
5y = 300
y = 60
So, A and B meet for the first time at a distance of 60 meters from P.
Step 2: Find the distance covered by A while going back to P from the meeting point.
The distance covered by A while going back to P will be equal to the distance covered by B while going back to Q.
Let's say this distance is z meters.
Step 3: Find the value of z.
- The time taken by A to cover z meters is z/3x seconds.
- The time taken by B to cover z meters is z/2x seconds.
Since they both start simultaneously, these times should be equal.
z/3x = z/2x
Simplifying this equation, we get:
2z = 3z
z = 0
So, the distance covered by A while going back to P is 0 meters.
Step 4: Find the total distance traveled by A.
The total distance traveled by A is the sum of the distances covered by A while going from P to the meeting point (y = 60 meters), and from the meeting point to P while going back (z = 0 meters).
Total distance traveled by A = y + z = 60 + 0 = 60 meters.
Therefore, the correct answer is option D - They never meet at point P.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
|
Explore Courses for CAT exam
|
|
Similar CAT Doubts
Top Courses for CATView all
Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect answer is option 'D'. Can you explain this answer?
Question Description
Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect 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 Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect 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 Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect answer is option 'D'. Can you explain this answer?.
Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect 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 Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect 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 Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect answer is option 'D'. Can you explain this answer?.
Solutions for Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two friends, A and B, start walking simultaneously from two points, P and Q,which are 100 m apart,towards points Q and P, respectively. After they reach Q and P, they again start walking back towards points P and Q. They keep on walking between points P and Q without stopping anywhere. The respective ratio of the speeds of A and B is 3 : 2.Q. What is the total distance travelled by A by the time A and B meet each other at point P for the first time?a)100 mb)140 mc)800 md)120 mCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
|
|
Explore Courses for CAT exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup