Quant Exam > Quant Questions > Two persons Prabhat and Vinay are walking aro...
Start Learning for Free
Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?
- a)24 min
- b)48 min
- c)96 min
- d)120 min
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
Two persons Prabhat and Vinay are walking around a circular park of th...
Relative speed of Vinay and Prabhat will be 20 m/minute to cover the track of 960 m. It will take 48 minutes.
Most Upvoted Answer
Two persons Prabhat and Vinay are walking around a circular park of th...
To solve this problem, we need to determine the time it takes for Prabhat and Vinay to meet again after starting from the same point and walking in the same direction around the circular park.
Let's calculate the time it takes for Prabhat and Vinay to complete one full round of the park.
- Prabhat's speed is 80 m/min, so in 1 minute he covers a distance of 80 m.
- Vinay's speed is 60 m/min, so in 1 minute he covers a distance of 60 m.
To find the time it takes for them to meet again, we need to find the least common multiple (LCM) of the distances covered by Prabhat and Vinay.
Step 1: Find the LCM of 80 and 60.
The prime factorization of 80 is 2^4 * 5, and the prime factorization of 60 is 2^2 * 3 * 5.
To find the LCM, we take the highest power of each prime factor that appears in either number:
- The highest power of 2 is 2^4.
- The highest power of 3 is 3.
- The highest power of 5 is 5.
Therefore, the LCM of 80 and 60 is 2^4 * 3 * 5 = 240.
Step 2: Calculate the time it takes for them to meet again.
Since the LCM is 240, it will take Prabhat and Vinay 240 minutes to meet again after starting from the same point.
However, we need to find the time in which they meet for the first time after starting together. So, we need to find the remainder when 960 (length of the circular park) is divided by 240 (LCM).
960 ÷ 240 = 4 with no remainder.
Since there is no remainder, it means they will meet for the first time after completing 4 rounds of the park.
Step 3: Calculate the time for them to meet.
Since Prabhat and Vinay walk at different speeds, the time it takes for them to complete one round of the park will be different.
- Prabhat's speed is 80 m/min, so the time it takes for him to complete one round is 960 ÷ 80 = 12 minutes.
- Vinay's speed is 60 m/min, so the time it takes for him to complete one round is 960 ÷ 60 = 16 minutes.
Since they need to complete 4 rounds to meet for the first time, we multiply the time for one round by 4.
For Prabhat: 12 minutes × 4 = 48 minutes.
For Vinay: 16 minutes × 4 = 64 minutes.
Therefore, Prabhat and Vinay will meet for the first time after 48 minutes.
The correct answer is option B) 48 minutes.
Let's calculate the time it takes for Prabhat and Vinay to complete one full round of the park.
- Prabhat's speed is 80 m/min, so in 1 minute he covers a distance of 80 m.
- Vinay's speed is 60 m/min, so in 1 minute he covers a distance of 60 m.
To find the time it takes for them to meet again, we need to find the least common multiple (LCM) of the distances covered by Prabhat and Vinay.
Step 1: Find the LCM of 80 and 60.
The prime factorization of 80 is 2^4 * 5, and the prime factorization of 60 is 2^2 * 3 * 5.
To find the LCM, we take the highest power of each prime factor that appears in either number:
- The highest power of 2 is 2^4.
- The highest power of 3 is 3.
- The highest power of 5 is 5.
Therefore, the LCM of 80 and 60 is 2^4 * 3 * 5 = 240.
Step 2: Calculate the time it takes for them to meet again.
Since the LCM is 240, it will take Prabhat and Vinay 240 minutes to meet again after starting from the same point.
However, we need to find the time in which they meet for the first time after starting together. So, we need to find the remainder when 960 (length of the circular park) is divided by 240 (LCM).
960 ÷ 240 = 4 with no remainder.
Since there is no remainder, it means they will meet for the first time after completing 4 rounds of the park.
Step 3: Calculate the time for them to meet.
Since Prabhat and Vinay walk at different speeds, the time it takes for them to complete one round of the park will be different.
- Prabhat's speed is 80 m/min, so the time it takes for him to complete one round is 960 ÷ 80 = 12 minutes.
- Vinay's speed is 60 m/min, so the time it takes for him to complete one round is 960 ÷ 60 = 16 minutes.
Since they need to complete 4 rounds to meet for the first time, we multiply the time for one round by 4.
For Prabhat: 12 minutes × 4 = 48 minutes.
For Vinay: 16 minutes × 4 = 64 minutes.
Therefore, Prabhat and Vinay will meet for the first time after 48 minutes.
The correct answer is option B) 48 minutes.
Free Test
FREE
| Start Free Test |
Community Answer
Two persons Prabhat and Vinay are walking around a circular park of th...
Understanding the problem
The problem states that two persons, Prabhat and Vinay, are walking around a circular park of length 960 m. Prabhat walks at a rate of 80 m/min while Vinay walks at a rate of 60 m/min. Both of them start from the same starting point at the same time in the same direction. We need to determine when they will be together.
Approach
Since both Prabhat and Vinay are walking in the same direction, the relative speed between them is the difference in their walking speeds. In this case, the relative speed is 80 m/min - 60 m/min = 20 m/min.
To find the time when they will be together, we need to find the time it takes for them to cover a distance that is a multiple of the circumference of the circular park (960 m).
Calculating the time
To calculate the time, we divide the total distance covered (a multiple of the circumference) by the relative speed.
The time can be calculated using the formula:
Time = Distance / Speed
In this case, the distance covered is a multiple of the circumference, which is 960 m. Let's assume the time taken is 't' minutes.
So, the distance covered by Prabhat in 't' minutes = 80 * t m
The distance covered by Vinay in 't' minutes = 60 * t m
According to the problem, the distance covered by both of them should be a multiple of the circumference, i.e., 960 m.
Therefore, we have the equation:
80 * t - 60 * t = 960
Simplifying the equation:
20 * t = 960
t = 960 / 20
t = 48 minutes
Therefore, Prabhat and Vinay will be together after 48 minutes.
Conclusion
Both Prabhat and Vinay will be together after 48 minutes.
|
Explore Courses for Quant exam
|
|
Similar Quant Doubts
Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer?
Question Description
Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer?.
Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
Download more important topics, notes, lectures and mock test series for Quant Exam by signing up for free.
Here you can find the meaning of Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Two persons Prabhat and Vinay are walking around a circular park of the length 960 m. Prabhat walks at the rate of 80 m/min while Vinay walks at the rate of 60 m/min. If both of them start from the same starting point at the same time in the same direction, when will they be together?a)24 minb)48 minc)96 mind)120 minCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Quant tests.
|
|
Explore Courses for Quant exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup