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Two places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 kmph and 60 kmph respectively. B overtakes A at M, which is on the way from R to S. What is the ratio of time taken by A and B to meet at M?
  • a)
    1:3
  • b)
    1:2
  • c)
    1:4
  • d)
    3:2
  • e)
    None of these
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Two places R and S are 800 km apart from each other. Two persons start...
Time taken by B to reach at M = 4h
Time taken by A to reach at M = 6h
Ratio = 6:4 = 3:2
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Most Upvoted Answer
Two places R and S are 800 km apart from each other. Two persons start...
Time taken by B to reach at M = 4h
Time taken by A to reach at M = 6h
Ratio = 6:4 = 3:2
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Community Answer
Two places R and S are 800 km apart from each other. Two persons start...

Approach:
- Calculate the time taken by A and B to reach point M.
- Find the ratio of the time taken by A and B to meet at point M.

Calculations:
- Let the time taken by A to reach point M be x hours.
- Then, the time taken by B to reach point M will be (x - 2) hours (since B starts 2 hours after A).
- Distance covered by A = 40x km
- Distance covered by B = 60(x - 2) km
- B overtakes A at point M, so the distances covered by A and B are the same.
- Therefore, 40x = 60(x - 2)
- Solving the above equation, we get x = 6 hours.

Ratio of time taken:
- Time taken by A to reach point M = 6 hours
- Time taken by B to reach point M = 6 - 2 = 4 hours
- Ratio of time taken by A and B = 6:4 = 3:2

Therefore, the correct answer is option D) 3:2.
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Two places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 kmph and 60 kmph respectively. B overtakes A at M, which is on the way from R to S. What is the ratio of time taken by A and B to meet at M?a)1:3b)1:2c)1:4d)3:2e)None of theseCorrect answer is option 'D'. Can you explain this answer?
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Two places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 kmph and 60 kmph respectively. B overtakes A at M, which is on the way from R to S. What is the ratio of time taken by A and B to meet at M?a)1:3b)1:2c)1:4d)3:2e)None of theseCorrect answer is option 'D'. 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 places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 kmph and 60 kmph respectively. B overtakes A at M, which is on the way from R to S. What is the ratio of time taken by A and B to meet at M?a)1:3b)1:2c)1:4d)3:2e)None of theseCorrect answer is option 'D'. 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 places R and S are 800 km apart from each other. Two persons start from R towards S at an interval of 2 hours. Whereas A leaves R for S before B. The speeds of A and B are 40 kmph and 60 kmph respectively. B overtakes A at M, which is on the way from R to S. What is the ratio of time taken by A and B to meet at M?a)1:3b)1:2c)1:4d)3:2e)None of theseCorrect answer is option 'D'. Can you explain this answer?.
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