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18 Oct 2024, 08:38
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E
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Difficulty:
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Question Stats:
86% (01:01) correct
14%
(01:05)
wrong
based on 327
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Pete made a trip to the beach, of which 80 kilometers were on highway X. What was Pete's average speed for the trip?
(1) Pete's average speed for the part of the trip on highway X was 80 kilometers per hour.
(2) Pete's average speed for the part of the trip not on highway X was 96 kilometers per hour.
(1) Pete's average speed for the part of the trip on highway X was 80 kilometers per hour.
(2) Pete's average speed for the part of the trip not on highway X was 96 kilometers per hour.
18 Oct 2024, 09:08
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SergejK
The answer here is clearly E. We don’t know how many kilometers Pete traveled off the highway. For example, if the non-highway part was 0 kilometers, his average speed for the trip would be 80 kilometers per hour. However, if the non-highway part was 1,000 kilometers, his average speed would be higher than 80 kilometers per hour.
17 Nov 2024, 01:34
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This problem is a Data Sufficiency question where the goal is to determine if the information provided in the two statements (individually or combined) is sufficient to answer the question, which is Pete's average speed for the entire trip.
The average speed for the entire trip is calculated as total distance divided by total time. To calculate this, we need the total distance of the trip (which includes the 80 km on highway X and the distance for the part not on highway X) and the total time of the trip (time spent on highway X and time spent off highway X).
Statement (1): Pete's average speed for the part of the trip on highway X was 80 kilometers per hour. This tells us that Pete traveled 80 km on highway X at a speed of 80 km/h. The time spent on highway X is 80 divided by 80, which equals 1 hour. However, we do not know the distance or speed for the portion of the trip not on highway X. Without this information, we cannot calculate the total time or total distance of the trip. Statement (1) alone is insufficient.
Statement (2): Pete's average speed for the part of the trip not on highway X was 96 kilometers per hour. This tells us that Pete’s speed for the part of the trip not on highway X is 96 km/h. However, we do not know the distance traveled on this portion of the trip or the total distance or time for the trip. Without knowing the time or distance for either part of the trip, we cannot calculate the total average speed. Statement (2) alone is insufficient.
Combining Statements (1) and (2): From statement (1), we know the distance on highway X is 80 km and the time on highway X is 1 hour. From statement (2), we know the speed for the part of the trip not on highway X is 96 km/h. However, we still do not know the distance for the part of the trip not on highway X or the total distance of the trip. Since we do not know the total distance or total time, even combining the statements, we cannot calculate the total average speed.
Final Answer: (E). The information is insufficient to determine Pete's average speed for the trip.
The average speed for the entire trip is calculated as total distance divided by total time. To calculate this, we need the total distance of the trip (which includes the 80 km on highway X and the distance for the part not on highway X) and the total time of the trip (time spent on highway X and time spent off highway X).
Statement (1): Pete's average speed for the part of the trip on highway X was 80 kilometers per hour. This tells us that Pete traveled 80 km on highway X at a speed of 80 km/h. The time spent on highway X is 80 divided by 80, which equals 1 hour. However, we do not know the distance or speed for the portion of the trip not on highway X. Without this information, we cannot calculate the total time or total distance of the trip. Statement (1) alone is insufficient.
Statement (2): Pete's average speed for the part of the trip not on highway X was 96 kilometers per hour. This tells us that Pete’s speed for the part of the trip not on highway X is 96 km/h. However, we do not know the distance traveled on this portion of the trip or the total distance or time for the trip. Without knowing the time or distance for either part of the trip, we cannot calculate the total average speed. Statement (2) alone is insufficient.
Combining Statements (1) and (2): From statement (1), we know the distance on highway X is 80 km and the time on highway X is 1 hour. From statement (2), we know the speed for the part of the trip not on highway X is 96 km/h. However, we still do not know the distance for the part of the trip not on highway X or the total distance of the trip. Since we do not know the total distance or total time, even combining the statements, we cannot calculate the total average speed.
Final Answer: (E). The information is insufficient to determine Pete's average speed for the trip.
