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A portion of an automobile test track is divided into Segment A, Segme
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07 May 2020, 01:27
07 May 2020, 01:27
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A portion of an automobile test track is divided into Segment A, Segment B, and Segment C, in that order. In a performance test on a car, the car traveled Segment A at a constant speed of 140 kilometers per hour (km/h). Immediately after this, the car rapidly slowed on Segment B and then traveled on Segment C at a constant speed of 70 km/h. The length of Segment C is 3 times the length of Segment A, and it took a total of 42 minutes for the car to travel both segments A and C. In the table, select the length of Segment A, in kilometers, and select the length of Segment C, in kilometers. Make only two selections, one in each column.
ID: 100359
|
Length of Segment A (kilometers) |
Length of Segment C (kilometers) |
|
| 8 | ||
| 14 | ||
| 24 | ||
| 42 | ||
| 72 | ||
| 126 |
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Official Answer
Length of Segment
A (kilometers): 14 Length of Segment
C (kilometers): 42
A (kilometers): 14 Length of Segment
C (kilometers): 42
Re: A portion of an automobile test track is divided into Segment A, Segme
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12 May 2020, 08:55
12 May 2020, 08:55
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Let length of segment A=x
So length of segment C=3x
And total time taken is 42 min =42/60 hours= 0.7 hours
So we will use Total time= distance in A/Speed in A + distance in C/Speed in C
0.7= x/140 + 3x/70
0.7*140= x+6x
.7*140=7x
x=14
So length of segment A=14
Length of segment C=42
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So length of segment C=3x
And total time taken is 42 min =42/60 hours= 0.7 hours
So we will use Total time= distance in A/Speed in A + distance in C/Speed in C
0.7= x/140 + 3x/70
0.7*140= x+6x
.7*140=7x
x=14
So length of segment A=14
Length of segment C=42
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Re: A portion of an automobile test track is divided into Segment A, Segme
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06 Apr 2021, 02:26
06 Apr 2021, 02:26
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Official Explanation
We are asked to determine the lengths of two segments of an automobile test track. The passage states that a car traveled Segment A at a constant rate of 140 km/h and traveled Segment C at a constant rate of 70 km/h, which indicates that it took the car twice as much time to cover a given unit of distance in Segment C as it took to cover the same distance in Segment A. The passage further states that the length of Segment C is 3 times the length of Segment A. Because the car took twice the time to cover a given distance in Segment C as in Segment A, and because Segment C was 3 times as long as Segment A, it can be further determined that the car spent 6 times as much time traveling Segment C as it did traveling Segment A. The passage indicates that it took a total of 42 minutes for the car to travel both segments A and C, and 42 minutes is equal to 0.7 h (42/60). Therefore, given that the car spent 6 times as much of the total combined time on Segment C as it did on Segment A, it can be calculated that the car spent 0.1 h on Segment A and 0.6 h on Segment C. Because we know that the car was traveling at 140 km/h for 0.1 h on Segment A, we can determine that Segment A was 14 kilometers long.
The correct answer is 14.
As noted in the analysis above, the car spent 0.6 h traveling Segment C. Because we know that the car was traveling at 70 km/h for 0.6 h on Segment C, we can determine that Segment C was 42 kilometers long.
The correct answer is 42.
We are asked to determine the lengths of two segments of an automobile test track. The passage states that a car traveled Segment A at a constant rate of 140 km/h and traveled Segment C at a constant rate of 70 km/h, which indicates that it took the car twice as much time to cover a given unit of distance in Segment C as it took to cover the same distance in Segment A. The passage further states that the length of Segment C is 3 times the length of Segment A. Because the car took twice the time to cover a given distance in Segment C as in Segment A, and because Segment C was 3 times as long as Segment A, it can be further determined that the car spent 6 times as much time traveling Segment C as it did traveling Segment A. The passage indicates that it took a total of 42 minutes for the car to travel both segments A and C, and 42 minutes is equal to 0.7 h (42/60). Therefore, given that the car spent 6 times as much of the total combined time on Segment C as it did on Segment A, it can be calculated that the car spent 0.1 h on Segment A and 0.6 h on Segment C. Because we know that the car was traveling at 140 km/h for 0.1 h on Segment A, we can determine that Segment A was 14 kilometers long.
The correct answer is 14.
As noted in the analysis above, the car spent 0.6 h traveling Segment C. Because we know that the car was traveling at 70 km/h for 0.6 h on Segment C, we can determine that Segment C was 42 kilometers long.
The correct answer is 42.
