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20 Jun 2025, 10:39
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Question Stats:
81% (01:14) correct
19%
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If a car traveled at a constant speed of 75 km/h during the first two hours of its four-hour trip, what was the average speed of the car for the entire journey?
(1) During the last two hours of the trip, the car covered 10 km more than it did during the first two hours.
(2) The average speed of the car during the last two hours of the trip was 80 km/h.
(1) During the last two hours of the trip, the car covered 10 km more than it did during the first two hours.
(2) The average speed of the car during the last two hours of the trip was 80 km/h.
28 Jun 2025, 02:45
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Official Solution:
If a car traveled at a constant speed of 75 km/h during the first two hours of its four-hour trip, what was the average speed of the car for the entire journey?
(1) During the last two hours of the trip, the car covered 10 km more than it did during the first two hours.
In the first two hours, the car traveled \(75*2 = 150\) km. In the last two hours, it traveled \(150 + 10 = 160\) km. The average speed is given by \(\frac{total \ distance}{total \ time}=\frac{150 + 160}{4} = 77.5\) km/h. Sufficient.
(2) The average speed of the car during the last two hours of the trip was 80 km/h.
In the first two hours, the car traveled \(75*2 = 150\) km. In the last two hours, it traveled \(80*2 = 160\) km. The average speed is \(\frac{total \ distance}{total \ time}=\frac{150 + 160}{4} = 77.5\) km/h. Sufficient.
Answer: D
If a car traveled at a constant speed of 75 km/h during the first two hours of its four-hour trip, what was the average speed of the car for the entire journey?
(1) During the last two hours of the trip, the car covered 10 km more than it did during the first two hours.
In the first two hours, the car traveled \(75*2 = 150\) km. In the last two hours, it traveled \(150 + 10 = 160\) km. The average speed is given by \(\frac{total \ distance}{total \ time}=\frac{150 + 160}{4} = 77.5\) km/h. Sufficient.
(2) The average speed of the car during the last two hours of the trip was 80 km/h.
In the first two hours, the car traveled \(75*2 = 150\) km. In the last two hours, it traveled \(80*2 = 160\) km. The average speed is \(\frac{total \ distance}{total \ time}=\frac{150 + 160}{4} = 77.5\) km/h. Sufficient.
Answer: D
General Discussion
21 Jun 2025, 08:44
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Bunuel
Average Speed = \(\frac{\text{Total Distance}}{\text{Total Time}}\)
Statement 1
(1) During the last two hours of the trip, the car covered 10 km more than it did during the first two hours.
Distance travelled by the car in the first two hours = 75 * 2 = 150
Distance travelled by the car in the last two hours = 150 + 10 = 160
Total Distance = 150 + 160 = 310
Total Time = 4 hours
As we have the total distance and the total time, we can find the average speed.
The statement alone is sufficient to answer the question asked. Eliminate B, C and E.
Statement 2
(2) The average speed of the car during the last two hours of the trip was 80 km/h.
Distance travelled by the car in the first two hours = 75 * 2 = 150
Distance travelled by the car in the last two hours = 85 * 2 = 160
Total Distance = 150 + 160 = 310
Total Time = 4 hours
As we have the total distance and the total time, we can find the average speed.
Hence, the statement alone is sufficient to find the average speed.
Option D
