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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 extra time taken by A to reach at S?
- a)6hrs 20 minutes
- b)6hrs 40 minutes
- c)6hrs 30 minutes
- d)6hrs 10 minutes
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
Two places R and S are 800 km apart from each other. Two persons start...
Time taken by A to reach at Q = 800/40 = 20 hours
Time taken by B to reach at Q = 800/60 = 13 hours and 20 min
A takes 6hr 40 minutes extra time to reach at Q.
Time taken by B to reach at Q = 800/60 = 13 hours and 20 min
A takes 6hr 40 minutes extra time to reach at Q.
Most Upvoted Answer
Two places R and S are 800 km apart from each other. Two persons start...
Problem Statement:
- 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.
- 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 extra time taken by A to reach S?
Solution:
- Let the time taken by A to reach M be x hours.
- Distance covered by A = 40x km
- Distance covered by B = Distance between A and B = 60(x-2) km
- As per the problem, B overtakes A at M.
- So, distance covered by A from M to S = Distance covered by B from M to S = 400 km
- Time taken by A to cover 400 km = 400/40 = 10 hours
- Total time taken by A to reach S = Time taken to reach M + Time taken to cover 400 km = x + 10
- Distance covered by B in x hours = Distance covered by A in (x+2) hours (as they start 2 hours apart)
- So, 60x = 40(x+2)
- Solving the above equation, we get x = 4 hours
- Hence, the total time taken by A to reach S = 4 + 10 = 14 hours
- Extra time taken by A to reach S = Total time taken by A - Time taken by B to reach S
- Time taken by B to cover 800 km = 800/60 = 13.33 hours (approx)
- Extra time taken by A to reach S = 14 - 13.33 = 0.67 hours = 40 minutes
Answer:
Therefore, the extra time taken by A to reach S is 6 hours 40 minutes.
- 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.
- 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 extra time taken by A to reach S?
Solution:
- Let the time taken by A to reach M be x hours.
- Distance covered by A = 40x km
- Distance covered by B = Distance between A and B = 60(x-2) km
- As per the problem, B overtakes A at M.
- So, distance covered by A from M to S = Distance covered by B from M to S = 400 km
- Time taken by A to cover 400 km = 400/40 = 10 hours
- Total time taken by A to reach S = Time taken to reach M + Time taken to cover 400 km = x + 10
- Distance covered by B in x hours = Distance covered by A in (x+2) hours (as they start 2 hours apart)
- So, 60x = 40(x+2)
- Solving the above equation, we get x = 4 hours
- Hence, the total time taken by A to reach S = 4 + 10 = 14 hours
- Extra time taken by A to reach S = Total time taken by A - Time taken by B to reach S
- Time taken by B to cover 800 km = 800/60 = 13.33 hours (approx)
- Extra time taken by A to reach S = 14 - 13.33 = 0.67 hours = 40 minutes
Answer:
Therefore, the extra time taken by A to reach S is 6 hours 40 minutes.
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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 extra time taken by A to reach atS?a)6hrs 20 minutesb)6hrs 40 minutesc)6hrs 30 minutesd)6hrs 10 minutesCorrect answer is option 'B'. 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 extra time taken by A to reach atS?a)6hrs 20 minutesb)6hrs 40 minutesc)6hrs 30 minutesd)6hrs 10 minutesCorrect 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 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 extra time taken by A to reach atS?a)6hrs 20 minutesb)6hrs 40 minutesc)6hrs 30 minutesd)6hrs 10 minutesCorrect 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 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 extra time taken by A to reach atS?a)6hrs 20 minutesb)6hrs 40 minutesc)6hrs 30 minutesd)6hrs 10 minutesCorrect answer is option 'B'. Can you explain this answer?.
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 extra time taken by A to reach atS?a)6hrs 20 minutesb)6hrs 40 minutesc)6hrs 30 minutesd)6hrs 10 minutesCorrect 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 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 extra time taken by A to reach atS?a)6hrs 20 minutesb)6hrs 40 minutesc)6hrs 30 minutesd)6hrs 10 minutesCorrect 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 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 extra time taken by A to reach atS?a)6hrs 20 minutesb)6hrs 40 minutesc)6hrs 30 minutesd)6hrs 10 minutesCorrect answer is option 'B'. Can you explain this answer?.
Solutions 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 extra time taken by A to reach atS?a)6hrs 20 minutesb)6hrs 40 minutesc)6hrs 30 minutesd)6hrs 10 minutesCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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