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02 Jan 2024, 02:30
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (00:46) correct
12%
(00:36)
wrong
based on 82
sessions
History
Date
Time
Result
Not Attempted Yet
John traveled for 12 hours. What was his total average (arithmetic mean) speed?
(1) For the first 4 hours, he traveled at 60 miles per hour.
(2) For the last 8 hours, he traveled at 50 miles per hour.
(1) For the first 4 hours, he traveled at 60 miles per hour.
(2) For the last 8 hours, he traveled at 50 miles per hour.
02 Jan 2024, 08:16
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Average speed is calculated as total distance divided by total time. We know that the total time taken by John is 12 hours. Thus, to determine John's total average speed, we need to know the total distance he traveled.
Let's assess the sufficiency of each statement:
Statement 1 Alone: Knowing he traveled at 60 mph for 4 hours, we can calculate the distance for this portion of the trip. However, without information about the speed or time for the rest of the trip, we cannot determine the total distance or the overall average speed. This statement alone is insufficient.
Statement 2 Alone: This tells us he traveled at 50 mph for 8 hours, allowing us to calculate the distance for this part of the trip. Without knowing the speed or time for the other part of the trip, we cannot find the total distance or average speed. This statement alone is also insufficient.
Both Statements Combined: When we use both statements together, we know the speeds and times for the entire 12-hour trip (4 hours at 60 mph and 8 hours at 50 mph). With this information, we can calculate the total distance traveled and then find the average speed. Therefore, the combination of both statements is sufficient to answer the question.
Thus, both statements together are sufficient to determine John's total average speed.
Let's assess the sufficiency of each statement:
Statement 1 Alone: Knowing he traveled at 60 mph for 4 hours, we can calculate the distance for this portion of the trip. However, without information about the speed or time for the rest of the trip, we cannot determine the total distance or the overall average speed. This statement alone is insufficient.
Statement 2 Alone: This tells us he traveled at 50 mph for 8 hours, allowing us to calculate the distance for this part of the trip. Without knowing the speed or time for the other part of the trip, we cannot find the total distance or average speed. This statement alone is also insufficient.
Both Statements Combined: When we use both statements together, we know the speeds and times for the entire 12-hour trip (4 hours at 60 mph and 8 hours at 50 mph). With this information, we can calculate the total distance traveled and then find the average speed. Therefore, the combination of both statements is sufficient to answer the question.
Thus, both statements together are sufficient to determine John's total average speed.
04 Jan 2024, 07:23
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Hi Bunuel,
Could you please share OA and explanation for E?
My understanding is we can arrive at total distance covered from St1 and St2 and total time is given 12 hours, so I chose C. Assumption made is that the speeds given are considered as constant speeds for the given duration.
Can we make such an assumption or is it wrong?
Could you please share OA and explanation for E?
My understanding is we can arrive at total distance covered from St1 and St2 and total time is given 12 hours, so I chose C. Assumption made is that the speeds given are considered as constant speeds for the given duration.
Can we make such an assumption or is it wrong?
