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David gets on an elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?
- a)19
- b)28
- c)30
- d)37
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
David gets on an elevator at the 11th floor of a building and rides up...
Suppose their paths cross after x minutes.
Then, 11 + 57x = 51 – 63x
⇒ 120x = 40
⇒ x =1/3
Number of floors covered by David in (1/3) min. =1/3 × 57= 19.
So, their paths cross at (11 +19) i.e., 30th floor.
Then, 11 + 57x = 51 – 63x
⇒ 120x = 40
⇒ x =1/3
Number of floors covered by David in (1/3) min. =1/3 × 57= 19.
So, their paths cross at (11 +19) i.e., 30th floor.
Most Upvoted Answer
David gets on an elevator at the 11th floor of a building and rides up...
Given:
David gets on an elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute.
Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute.
To find:
At which floor will their paths cross?
Solution:
Let's assume that their paths will cross at xth floor.
Distance covered by David = x - 11 floors
Distance covered by Albert = 51 - x floors
As they are traveling at the same time, the time taken by both of them will be the same.
Time taken by both = Distance / Speed
Time taken by David = (x - 11) / 57
Time taken by Albert = (51 - x) / 63
As per the given condition, both of them will take the same time.
Therefore, (x - 11) / 57 = (51 - x) / 63
On solving the above equation, we get x = 30.
Therefore, their paths will cross at the 30th floor.
Hence, the correct option is (C) 30.
David gets on an elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute.
Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute.
To find:
At which floor will their paths cross?
Solution:
Let's assume that their paths will cross at xth floor.
Distance covered by David = x - 11 floors
Distance covered by Albert = 51 - x floors
As they are traveling at the same time, the time taken by both of them will be the same.
Time taken by both = Distance / Speed
Time taken by David = (x - 11) / 57
Time taken by Albert = (51 - x) / 63
As per the given condition, both of them will take the same time.
Therefore, (x - 11) / 57 = (51 - x) / 63
On solving the above equation, we get x = 30.
Therefore, their paths will cross at the 30th floor.
Hence, the correct option is (C) 30.
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David gets on an elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?a)19b)28c)30d)37Correct answer is option 'C'. Can you explain this answer?
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David gets on an elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?a)19b)28c)30d)37Correct answer is option 'C'. Can you explain this answer? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about David gets on an elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?a)19b)28c)30d)37Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for David gets on an elevator at the 11th floor of a building and rides up at the rate of 57 floors per minute. At the same time, Albert gets on an elevator at the 51st floor of the same building and rides down at the rate of 63 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?a)19b)28c)30d)37Correct answer is option 'C'. Can you explain this answer?.
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