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Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 4 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?
  • a)
    R – 4
  • b)
    R / (R + 4)
  • c)
    R / (R – 8)
  • d)
    8 / (R – 8)
  • e)
    R2 – 4
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Alex and Brenda both stand at point X. Alex begins to walk away from B...
If we want Brenda's distance to be twice as great as Alex's distance, we can set up the following equation: 
2(4T) = R(T – 1), where 4T is Alex's distance (rate × time) and R(T – 1) is Brenda's distance (since Brenda has been traveling for one hour less). 
If we simplify this equation to isolate the T (which represents Alex's total time), we get: 
2(4T) = R(T – 1)
8T = RT – R
R = RT – 8T
R = T(R – 8)

This is choice C
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Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 4 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?a)R – 4b)R / (R + 4)c)R / (R – 8)d)8 / (R – 8)e)R2– 4Correct answer is option 'C'. Can you explain this answer?
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Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 4 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?a)R – 4b)R / (R + 4)c)R / (R – 8)d)8 / (R – 8)e)R2– 4Correct 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 Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 4 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?a)R – 4b)R / (R + 4)c)R / (R – 8)d)8 / (R – 8)e)R2– 4Correct 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 Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 4 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?a)R – 4b)R / (R + 4)c)R / (R – 8)d)8 / (R – 8)e)R2– 4Correct answer is option 'C'. Can you explain this answer?.
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