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Akash, Anurag and Rishab are running around a circular track of length 900 m with respective speeds of 15 m, 20 m and 30 m/sec.Akash and Anurag are running in the same direction while Rishab is running in the opposite direction.After how much time will all the three of them meet for the first time?
Correct answer is '120'. Can you explain this answer?
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Akash, Anurag and Rishab are running around a circular track of length...
120 seconds
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Akash, Anurag and Rishab are running around a circular track of length...
Given Information:
- Circular track length = 900 m
- Akash's speed = 15 m/sec
- Anurag's speed = 20 m/sec
- Rishab's speed = 30 m/sec
- Akash and Anurag are running in the same direction
- Rishab is running in the opposite direction
To find:
After how much time will all three of them meet for the first time?
Approach:
To find the time when all three of them meet for the first time, we need to calculate the time it takes for each of them to complete one full round of the circular track. Since they are running at different speeds, the time taken by each of them to complete one round will be different. We can find the time taken by each runner using the formula:
Time taken = Distance / Speed
Let's calculate the time taken by each runner.
Akash:
Time taken by Akash to complete one round = 900 m / 15 m/sec = 60 sec
Anurag:
Time taken by Anurag to complete one round = 900 m / 20 m/sec = 45 sec
Rishab:
Time taken by Rishab to complete one round = 900 m / 30 m/sec = 30 sec
LCM of the time taken:
To find the time when all three of them meet for the first time, we need to find the least common multiple (LCM) of the time taken by each runner. The LCM will give us the time at which all three of them will meet again.
The LCM of 60, 45, and 30 is 120. Therefore, all three of them will meet for the first time after 120 seconds.
Answer:
All three of them will meet for the first time after 120 seconds.
- Circular track length = 900 m
- Akash's speed = 15 m/sec
- Anurag's speed = 20 m/sec
- Rishab's speed = 30 m/sec
- Akash and Anurag are running in the same direction
- Rishab is running in the opposite direction
To find:
After how much time will all three of them meet for the first time?
Approach:
To find the time when all three of them meet for the first time, we need to calculate the time it takes for each of them to complete one full round of the circular track. Since they are running at different speeds, the time taken by each of them to complete one round will be different. We can find the time taken by each runner using the formula:
Time taken = Distance / Speed
Let's calculate the time taken by each runner.
Akash:
Time taken by Akash to complete one round = 900 m / 15 m/sec = 60 sec
Anurag:
Time taken by Anurag to complete one round = 900 m / 20 m/sec = 45 sec
Rishab:
Time taken by Rishab to complete one round = 900 m / 30 m/sec = 30 sec
LCM of the time taken:
To find the time when all three of them meet for the first time, we need to find the least common multiple (LCM) of the time taken by each runner. The LCM will give us the time at which all three of them will meet again.
The LCM of 60, 45, and 30 is 120. Therefore, all three of them will meet for the first time after 120 seconds.
Answer:
All three of them will meet for the first time after 120 seconds.
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Akash, Anurag and Rishab are running around a circular track of length 900 m with respective speeds of 15 m, 20 m and 30 m/sec.Akash and Anurag are running in the same direction while Rishab is running in the opposite direction.After how much time will all the three of them meet for the first time?Correct answer is '120'. Can you explain this answer?
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Akash, Anurag and Rishab are running around a circular track of length 900 m with respective speeds of 15 m, 20 m and 30 m/sec.Akash and Anurag are running in the same direction while Rishab is running in the opposite direction.After how much time will all the three of them meet for the first time?Correct answer is '120'. 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 Akash, Anurag and Rishab are running around a circular track of length 900 m with respective speeds of 15 m, 20 m and 30 m/sec.Akash and Anurag are running in the same direction while Rishab is running in the opposite direction.After how much time will all the three of them meet for the first time?Correct answer is '120'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Akash, Anurag and Rishab are running around a circular track of length 900 m with respective speeds of 15 m, 20 m and 30 m/sec.Akash and Anurag are running in the same direction while Rishab is running in the opposite direction.After how much time will all the three of them meet for the first time?Correct answer is '120'. Can you explain this answer?.
Akash, Anurag and Rishab are running around a circular track of length 900 m with respective speeds of 15 m, 20 m and 30 m/sec.Akash and Anurag are running in the same direction while Rishab is running in the opposite direction.After how much time will all the three of them meet for the first time?Correct answer is '120'. 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 Akash, Anurag and Rishab are running around a circular track of length 900 m with respective speeds of 15 m, 20 m and 30 m/sec.Akash and Anurag are running in the same direction while Rishab is running in the opposite direction.After how much time will all the three of them meet for the first time?Correct answer is '120'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Akash, Anurag and Rishab are running around a circular track of length 900 m with respective speeds of 15 m, 20 m and 30 m/sec.Akash and Anurag are running in the same direction while Rishab is running in the opposite direction.After how much time will all the three of them meet for the first time?Correct answer is '120'. Can you explain this answer?.
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