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Robert and Timothy both left their respective homes at 1 PM. Robert walked till a lake that was between 2.5 kilometres and 3 kilometres from his home, inclusive, and returned home between 1:55 PM and 2:05 PM. If Timothy walked 5 kilometres more than Robert and returned to her home at 3 PM, which of the following statements must be true?
I. The walking speed of Timothy was greater than that of Robert
II. Robert’s walking speed was close to 3 kilometers per hour
III. Had Robert covered 5 more meters every 18 seconds, his walking speed would have been greater than Timothy’s
  • a)
    I only
  • b)
    II only
  • c)
    III only
  • d)
    I, II and III
  • e)
    None of the above
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Robert and Timothy both left their respective homes at 1 PM. Robert wa...
Given:
  • Robert
    • Let the distance covered be DR and time taken be TR
    • 2.5*2 km ≤ DR ≤ 3*2 (distance in round trip is double the one-way distance)
  • Timothy
    • Let the distance covered be DT and time taken be TT
    • As Timothy walked 5 kilometers more than Robert, she would have walked a minimum distance of 5 + 5 = 10 kms and a maximum distance of 6 + 5 = 11 kms.
    • So, 10 km ≤ DT ≤ 11
    • TT = 2 hours
To Find:
Let Robert’s speed be SR and Timothy’s speed be ST
ST > SR?
SR ∼ 3 kmph?
 meters per second (in short  mps) > ST ?
Approach:
  • Find range of SR and ST (since definite values of DR, TR and TT are not given, definite values of SR and ST cannot be found)
  • Check the validity of the 3 statements
 
Working out:
  • Range of ST
  • SR + 1 kmph: 5.6 kmph – 7.7 kmph
  • Thus, Robert’s speed would definitely have been greater than
  • Timothy’s
  • So, Yes
Thus, only St. III is a must be true statement.
Correct Answer = Option C
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Most Upvoted Answer
Robert and Timothy both left their respective homes at 1 PM. Robert wa...
Analysis:
Given that Robert walked between 2.5 to 3 kilometers round trip and Timothy walked 5 kilometers more than Robert, we can deduce the following:

I. The walking speed of Timothy was greater than that of Robert
Since Timothy walked 5 kilometers more than Robert and returned home at 3 PM, it is likely that Timothy's walking speed was greater than Robert's. This statement must be true based on the information provided.

II. Robert's walking speed was close to 3 kilometers per hour
Since Robert walked between 2.5 to 3 kilometers and returned home in less than an hour, it is plausible that Robert's walking speed was close to 3 kilometers per hour. However, the exact walking speed cannot be determined with certainty. Therefore, this statement may or may not be true.

III. Had Robert covered 5 more meters every 18 seconds, his walking speed would have been greater than Timothy's
This statement cannot be determined based on the information provided. It involves a hypothetical scenario where Robert covers extra distance in a given time frame. Since we do not have specific data on Timothy's walking speed or the exact time taken by Robert, this statement cannot be confirmed.
Therefore, the only statement that must be true is III. Had Robert covered 5 more meters every 18 seconds, his walking speed would have been greater than Timothy's as it does not rely on assumptions about the walking speeds of Robert and Timothy.
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Robert and Timothy both left their respective homes at 1 PM. Robert walked till a lake that was between 2.5 kilometres and 3 kilometres from his home, inclusive, and returned home between 1:55 PM and 2:05 PM. If Timothy walked 5 kilometres more than Robert and returned to her home at 3 PM, which of the following statements must be true?I. The walking speed of Timothy was greater than that of RobertII. Robert’s walking speed was close to 3 kilometers per hourIII. Had Robert covered 5 more meters every 18 seconds, his walking speed would have been greater than Timothy’sa)I onlyb)II onlyc)III onlyd)I, II and IIIe)None of the aboveCorrect answer is option 'C'. Can you explain this answer?
Question Description
Robert and Timothy both left their respective homes at 1 PM. Robert walked till a lake that was between 2.5 kilometres and 3 kilometres from his home, inclusive, and returned home between 1:55 PM and 2:05 PM. If Timothy walked 5 kilometres more than Robert and returned to her home at 3 PM, which of the following statements must be true?I. The walking speed of Timothy was greater than that of RobertII. Robert’s walking speed was close to 3 kilometers per hourIII. Had Robert covered 5 more meters every 18 seconds, his walking speed would have been greater than Timothy’sa)I onlyb)II onlyc)III onlyd)I, II and IIIe)None of the aboveCorrect answer is option 'C'. Can you explain this answer? for GMAT 2024 is part of GMAT preparation. The Question and answers have been prepared according to the GMAT exam syllabus. Information about Robert and Timothy both left their respective homes at 1 PM. Robert walked till a lake that was between 2.5 kilometres and 3 kilometres from his home, inclusive, and returned home between 1:55 PM and 2:05 PM. If Timothy walked 5 kilometres more than Robert and returned to her home at 3 PM, which of the following statements must be true?I. The walking speed of Timothy was greater than that of RobertII. Robert’s walking speed was close to 3 kilometers per hourIII. Had Robert covered 5 more meters every 18 seconds, his walking speed would have been greater than Timothy’sa)I onlyb)II onlyc)III onlyd)I, II and IIIe)None of the aboveCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GMAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Robert and Timothy both left their respective homes at 1 PM. Robert walked till a lake that was between 2.5 kilometres and 3 kilometres from his home, inclusive, and returned home between 1:55 PM and 2:05 PM. If Timothy walked 5 kilometres more than Robert and returned to her home at 3 PM, which of the following statements must be true?I. The walking speed of Timothy was greater than that of RobertII. Robert’s walking speed was close to 3 kilometers per hourIII. Had Robert covered 5 more meters every 18 seconds, his walking speed would have been greater than Timothy’sa)I onlyb)II onlyc)III onlyd)I, II and IIIe)None of the aboveCorrect answer is option 'C'. Can you explain this answer?.
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