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A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?
- a)5.5 minutes
- b)6.0 minutes
- c)5.28 minutes
- d)4.9 minutes
Correct answer is option 'C'. Can you explain this answer?
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A circular running path is 726 mts in circumference. Two men start fro...
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A circular running path is 726 mts in circumference. Two men start fro...
Given:
- The circular running path is 726 m in circumference.
- Two men start from the same point and walk in opposite directions.
- The first man walks at a speed of 3.75 km/hr.
- The second man walks at a speed of 4.5 km/hr.
To find:
- When will they meet for the first time?
Approach:
- The relative speed of the two men is the sum of their individual speeds.
- We will convert the speeds to m/s to maintain consistency with the units of the circumference of the path.
- We will calculate the time taken to meet by dividing the circumference of the path by the relative speed of the two men.
Calculation:
1. Convert the speeds to m/s:
- Speed of the first man = 3.75 km/hr = (3.75 * 1000) / 3600 m/s = 1.04 m/s
- Speed of the second man = 4.5 km/hr = (4.5 * 1000) / 3600 m/s = 1.25 m/s
2. Calculate the relative speed:
- Relative speed = Speed of the first man + Speed of the second man
= 1.04 m/s + 1.25 m/s
= 2.29 m/s
3. Calculate the time taken to meet:
- Time taken = Circumference of the path / Relative speed
= 726 m / 2.29 m/s
≈ 317.49 s
4. Convert the time to minutes:
- Time taken = 317.49 s = 317.49 / 60 min
≈ 5.29 min
Answer:
- The two men will meet for the first time approximately after 5.29 minutes.
- Therefore, the correct answer is option 'C' (5.28 minutes).
- The circular running path is 726 m in circumference.
- Two men start from the same point and walk in opposite directions.
- The first man walks at a speed of 3.75 km/hr.
- The second man walks at a speed of 4.5 km/hr.
To find:
- When will they meet for the first time?
Approach:
- The relative speed of the two men is the sum of their individual speeds.
- We will convert the speeds to m/s to maintain consistency with the units of the circumference of the path.
- We will calculate the time taken to meet by dividing the circumference of the path by the relative speed of the two men.
Calculation:
1. Convert the speeds to m/s:
- Speed of the first man = 3.75 km/hr = (3.75 * 1000) / 3600 m/s = 1.04 m/s
- Speed of the second man = 4.5 km/hr = (4.5 * 1000) / 3600 m/s = 1.25 m/s
2. Calculate the relative speed:
- Relative speed = Speed of the first man + Speed of the second man
= 1.04 m/s + 1.25 m/s
= 2.29 m/s
3. Calculate the time taken to meet:
- Time taken = Circumference of the path / Relative speed
= 726 m / 2.29 m/s
≈ 317.49 s
4. Convert the time to minutes:
- Time taken = 317.49 s = 317.49 / 60 min
≈ 5.29 min
Answer:
- The two men will meet for the first time approximately after 5.29 minutes.
- Therefore, the correct answer is option 'C' (5.28 minutes).
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Community Answer
A circular running path is 726 mts in circumference. Two men start fro...
C
let they cross at t min.
4500 min are covered in 60 min.
then
in t min = 4500t/60
so that
4500t/60 +3750t/60 = 726
then t = 5.28 min
let they cross at t min.
4500 min are covered in 60 min.
then
in t min = 4500t/60
so that
4500t/60 +3750t/60 = 726
then t = 5.28 min
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A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer?
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A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer?.
A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer?.
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A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A circular running path is 726 mts in circumference. Two men start from the same point and walk in opposite directions at 3.75 km/hr and 4.5 km/hr respectively. When will they meet for the first time?a)5.5 minutesb)6.0 minutesc)5.28 minutesd)4.9 minutesCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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