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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).?
Most Upvoted Answer
Every day a person walks at a constant speed, V1 for 30 minutes. On a ...
Given:
- The person walks at a constant speed, V1, for 30 minutes every day.
- On a particular day, he walks for 10 minutes at V1, then rests for 5 minutes, and finally walks the remaining distance at a constant speed, V2, for 30 minutes.

To find:
- The ratio of V2 to the average speed of the person.

Approach:
To find the ratio of V2 to the average speed, we need to calculate the average speed first.

1. Calculate the total distance covered by the person:
- The distance covered in the first 10 minutes at V1: 10/60 * V1
- The distance covered in the remaining 30 minutes at V2: 30/60 * V2
- Total distance covered: (10/60 * V1) + (30/60 * V2)

2. Calculate the total time taken by the person:
- Walking time at V1: 10 minutes
- Resting time: 5 minutes
- Walking time at V2: 30 minutes
- Total time taken: 10 + 5 + 30 = 45 minutes

3. Calculate the average speed:
- Average speed = Total distance covered / Total time taken

4. Calculate the ratio of V2 to the average speed:
- Ratio = V2 / Average speed

Calculation:
Let's assume V1 = 60 km/hr and V2 = 80 km/hr for calculation purposes.

1. Total distance covered:
- Distance covered in the first 10 minutes at V1: (10/60) * 60 = 10 km
- Distance covered in the remaining 30 minutes at V2: (30/60) * 80 = 40 km
- Total distance covered: 10 + 40 = 50 km

2. Total time taken: 10 + 5 + 30 = 45 minutes

3. Average speed: 50 km / 45 minutes = 1.11 km/minute

4. Ratio of V2 to average speed: 80 km/hr / 1.11 km/minute ≈ 72.07

The ratio of V2 to the average speed is approximately 72.07.
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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).?
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).? for CAT 2024 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).? covers all topics & solutions for CAT 2024 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).?.
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