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Amy reached from her home to her aunt’s place in 75 minutes. What is the average speed at which Amy drove her car?
(1) She travelled the first 30 minutes at 60 miles per hour and remaining at 80 miles per hour.
(2) The total distance between Amy and her aunt’s home is 90 miles.
  • a)
    Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked
  • b)
    Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked
  • c)
    BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient
  • d)
    EACH statement ALONE is sufficient to answer the question asked
  • e)
    Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are needed
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Amy reached from her home to her aunt’s place in 75 minutes. Wha...
Understanding the Problem
To find Amy's average speed, we need to determine the total distance she traveled and the time taken. The average speed can be calculated using the formula:
Average Speed = Total Distance / Total Time
Amy took 75 minutes (or 1.25 hours) to reach her aunt's place.
Analyzing Statement (1)
- Amy drove for 30 minutes (0.5 hours) at 60 miles per hour:
- Distance = Speed × Time = 60 miles/hour × 0.5 hours = 30 miles
- For the remaining 45 minutes (0.75 hours), she drove at 80 miles per hour:
- Distance = Speed × Time = 80 miles/hour × 0.75 hours = 60 miles
- Total Distance = 30 miles + 60 miles = 90 miles
Now, we can calculate the average speed:
- Average Speed = Total Distance / Total Time = 90 miles / 1.25 hours = 72 miles per hour.
Thus, Statement (1) is sufficient.
Analyzing Statement (2)
- The total distance between Amy and her aunt's home is given as 90 miles.
- The time taken is still 75 minutes (1.25 hours).
Using the average speed formula:
- Average Speed = Total Distance / Total Time = 90 miles / 1.25 hours = 72 miles per hour.
Thus, Statement (2) is also sufficient.
Conclusion
- Both statements individually provide enough information to calculate the average speed.
- Therefore, the correct answer is option 'C': BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient.
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Community Answer
Amy reached from her home to her aunt’s place in 75 minutes. Wha...
Statement (1) provides the information about Amy's speed during different time intervals. She traveled the first 30 minutes at 60 miles per hour and the remaining time at 80 miles per hour. However, it doesn't provide the total distance or the duration of each interval. Without the duration of each interval, we cannot determine the total distance traveled or the average speed. Therefore, statement (1) alone is not sufficient to answer the question.
Statement (2) provides the total distance between Amy and her aunt's home, which is 90 miles. With this information alone, we cannot determine the time taken or the average speed because we don't know the duration of the trip. Therefore, statement (2) alone is not sufficient to answer the question.
However, if we consider both statements together, we can derive the required information. Statement (1) gives us the speeds during different time intervals, and statement (2) gives us the total distance. By combining this information, we can calculate the duration of each interval and then find the average speed.
Hence, both statements (1) and (2) together are sufficient to answer the question. Therefore, the correct answer is (C) "BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient."
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Amy reached from her home to her aunt’s place in 75 minutes. What is the average speed at which Amy drove her car?(1) She travelled the first 30 minutes at 60 miles per hour and remaining at 80 miles per hour.(2) The total distance between Amy and her aunt’s home is 90 miles.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?
Question Description
Amy reached from her home to her aunt’s place in 75 minutes. What is the average speed at which Amy drove her car?(1) She travelled the first 30 minutes at 60 miles per hour and remaining at 80 miles per hour.(2) The total distance between Amy and her aunt’s home is 90 miles.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 Amy reached from her home to her aunt’s place in 75 minutes. What is the average speed at which Amy drove her car?(1) She travelled the first 30 minutes at 60 miles per hour and remaining at 80 miles per hour.(2) The total distance between Amy and her aunt’s home is 90 miles.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect 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 Amy reached from her home to her aunt’s place in 75 minutes. What is the average speed at which Amy drove her car?(1) She travelled the first 30 minutes at 60 miles per hour and remaining at 80 miles per hour.(2) The total distance between Amy and her aunt’s home is 90 miles.a)Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question askedb)Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question askedc)BOTH statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficientd)EACH statement ALONE is sufficient to answer the question askede)Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked, and additional data are neededCorrect answer is option 'C'. Can you explain this answer?.
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