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Anu and Purvi are running on a circular track of length 500m. The Speed of Anu is 40 m/s and that of Purvi is 30 m/s. They start from the same point at the same time in the same direction. When will they meet again for the first time?
- a)25 s
- b)23 s
- c)50 s
- d)48 s
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Anu and Purvi are running on a circular track of length 500m. TheSpeed...
Time = Distance/Relative Speed = 500/10 = 50 s
Most Upvoted Answer
Anu and Purvi are running on a circular track of length 500m. TheSpeed...
Solution:
Given, Length of the circular track = 500m
Speed of Anu = 40 m/s
Speed of Purvi = 30 m/s
Let the time taken by Anu and Purvi to meet for the first time be 't' seconds.
Distance covered by Anu in 't' seconds = 40t meters
Distance covered by Purvi in 't' seconds = 30t meters
Let the distance covered by Anu and Purvi before they meet for the first time be 'd' meters.
Since they are running in the same direction, the relative speed between them = 40 - 30 = 10 m/s
Using relative speed formula, we have:
d = (40t - 30t) = 10t meters
Now, the distance covered by Anu and Purvi in 't' seconds should be equal to the length of the circular track for them to meet for the first time.
i.e., 40t + (500 - 30t) = 500
Solving the above equation, we get:
10t = 500 - 500 = 0
t = 0 seconds
This implies that Anu and Purvi will meet for the first time at the starting point itself.
The time taken for them to meet again for the first time will be equal to the time taken for them to complete one full round of the circular track.
Time taken to complete one full round of the circular track = Length of the circular track/Relative speed
= 500/10 = 50 seconds
Therefore, they will meet again for the first time after 50 seconds, which is option (c).
Given, Length of the circular track = 500m
Speed of Anu = 40 m/s
Speed of Purvi = 30 m/s
Let the time taken by Anu and Purvi to meet for the first time be 't' seconds.
Distance covered by Anu in 't' seconds = 40t meters
Distance covered by Purvi in 't' seconds = 30t meters
Let the distance covered by Anu and Purvi before they meet for the first time be 'd' meters.
Since they are running in the same direction, the relative speed between them = 40 - 30 = 10 m/s
Using relative speed formula, we have:
d = (40t - 30t) = 10t meters
Now, the distance covered by Anu and Purvi in 't' seconds should be equal to the length of the circular track for them to meet for the first time.
i.e., 40t + (500 - 30t) = 500
Solving the above equation, we get:
10t = 500 - 500 = 0
t = 0 seconds
This implies that Anu and Purvi will meet for the first time at the starting point itself.
The time taken for them to meet again for the first time will be equal to the time taken for them to complete one full round of the circular track.
Time taken to complete one full round of the circular track = Length of the circular track/Relative speed
= 500/10 = 50 seconds
Therefore, they will meet again for the first time after 50 seconds, which is option (c).
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Anu and Purvi are running on a circular track of length 500m. TheSpeed of Anu is 40 m/s and that of Purvi is 30 m/s. They start from the same point at the same time in the same direction. When will they meet again for the first time?a)25 sb)23 sc)50 sd)48 sCorrect answer is option 'C'. 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 Anu and Purvi are running on a circular track of length 500m. TheSpeed of Anu is 40 m/s and that of Purvi is 30 m/s. They start from the same point at the same time in the same direction. When will they meet again for the first time?a)25 sb)23 sc)50 sd)48 sCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Anu and Purvi are running on a circular track of length 500m. TheSpeed of Anu is 40 m/s and that of Purvi is 30 m/s. They start from the same point at the same time in the same direction. When will they meet again for the first time?a)25 sb)23 sc)50 sd)48 sCorrect answer is option 'C'. Can you explain this answer?.
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