CAT Exam  >  CAT Questions  >   Every day a person walks at a constant speed... Start Learning for Free
Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).
  • a)
    1:1
  • b)
    1:2
  • c)
    2:3
  • d)
    2:1
  • e)
    None of the above
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Every day a person walks at a constant speed, V1 for 30 minutes. On a...
The man walks with a speed of V1 for 30 minutes.
=> Distance covered = 30*V1.
On a particular day, he walks for 10 minutes at V1, takes a rest of 5 minutes, and then covers the distance by walking at V2 for 30 minutes.
=> 10*V1 + 30*V2 = 30*V1
20*V1 = 30*V2
V1 = 1.5V2 …… (1)
=> Total distance = 30*1.5*V2 = 45V2.
Now, we know that the person took 10 + 5 + 30 = 45 minutes to cover the entire distance.
=> Average speed = 45V2/45 = V2.
Ratio of V2 and the average speed = 1:1.
Therefore, option A is the right answer.
View all questions of this test
Most Upvoted Answer
Every day a person walks at a constant speed, V1 for 30 minutes. On a...
Given Information:
- The person walks at a constant speed, V1, for 30 minutes every day.
- On a particular day, the person walks for 10 minutes at V1, rests for 5 minutes, and then finishes the remaining distance at a constant speed, V2, in another 30 minutes.

To Find:
The ratio of V2 to the person's average speed (total distance covered / total time taken including resting time).

Solution:
To solve this problem, let's assume the distance covered by the person in 30 minutes at speed V1 is D1, and the distance covered in the remaining 30 minutes at speed V2 is D2.

Step 1: Calculate the distance covered in the first 10 minutes.
Since the person walks at a constant speed, V1, for 30 minutes every day, the distance covered in 30 minutes is D1.
Therefore, the distance covered in 10 minutes is (10/30) * D1 = (1/3) * D1.

Step 2: Calculate the distance covered in the remaining 30 minutes.
The person walks at a constant speed, V2, for 30 minutes and covers a distance D2.

Step 3: Calculate the total distance covered.
The total distance covered is the sum of the distances covered in Step 1 and Step 2, which is (1/3) * D1 + D2.

Step 4: Calculate the total time taken.
The total time taken includes the time taken for walking, resting, and finishing the remaining distance. It is given as 10 minutes (walking) + 5 minutes (resting) + 30 minutes (finishing) = 45 minutes.

Step 5: Calculate the average speed.
The average speed is the total distance covered divided by the total time taken, which is [(1/3) * D1 + D2] / 45.

Step 6: Calculate the ratio of V2 to the average speed.
The ratio of V2 to the average speed is given by V2 / [(1/3) * D1 + D2] / 45.

Step 7: Simplify the ratio.
To simplify the ratio, divide both the numerator and denominator by D2. This gives (45 * V2) / [(1/3) * D1 + D2].

Since D1, D2, and V2 are positive values, the ratio (45 * V2) / [(1/3) * D1 + D2] will always be equal to 1.

Therefore, the ratio of V2 to the average speed is 1:1.

Hence, the correct answer is option 'A'.
Explore Courses for CAT exam

Similar CAT Doubts

Top Courses for CAT

Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. Can you explain this answer?
Question Description
Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. Can you explain this answer? for CAT 2025 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. Can you explain this answer?.
Solutions for Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. 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 Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Every day a person walks at a constant speed, V1 for 30 minutes. On a particular day, after walking for 10 minutes at V1, he rested for 5 minutes. He finished the remaining distance of his regular walk at a constant speed, V2, in another 30 minutes. On that day, find the ratio of V2 and his average speed (i.e., total distance covered /total time taken including resting time).a)1:1b)1:2c)2:3d)2:1e)None of the aboveCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev