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A portion of an automobile test track is divided into Segment A, Segme

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A portion of an automobile test track is divided into Segment A, Segme [#permalink] New post   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.
Length of Segment
A (kilometers) 		Length of Segment
C (kilometers)
8
14
24
42
72
126
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Length of Segment
A (kilometers): 14 Length of Segment
C (kilometers): 42
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Re: A portion of an automobile test track is divided into Segment A, Segme [#permalink] New post   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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Re: A portion of an automobile test track is divided into Segment A, Segme [#permalink] New post   06 Apr 2021, 02:26
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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.
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Re: A portion of an automobile test track is divided into Segment A, Segme [#permalink] New post   12 May 2020, 11:29
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Speed in Segment A = 140km,
Speed in Segment B = unknown
Speed in Segment C = 70km.

Length of segment A = x,
Length of segment C = 3x.

total time taken to cover Segment A & B = 42/60 = 0.7 hrs.

The equation which will be formed is: x/140 + 3x/70 = 7x/140 = 7/10.

=> x = 14 km, 3x = 42 km


Answer : Segment A: 14 km, Segment B = 42 km.
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Re: A portion of an automobile test track is divided into Segment A, Segme [#permalink] New post   23 Oct 2021, 08:11
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Sajjad1994 wrote:
Project IR Butler 2019-20 - Get one IR Question Everyday
Question # 223, Date : 12-May-2020
This post is a part of Project IR Butler 2019-20. Click here for Details


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.

Length of Segment A (kilometers)Length of Segment C (kilometers)
8
14
24
42
72
126


Show SpoilerOA
Length of Segment A (kilometers): 14
Length of Segment C (kilometers): 42



Let us employ weighted average.

3 segments
Distance Rate Time
A ......... 140 km/h
B
C......... 70 km/h

Length of C = 3A
Total Time for to pass A + C or 4A = 42 min = 42/60 = (7/10)h

Ratio of Segment A rate to C rate is \(\frac{140}{70 }\) =\(\frac{2}{1 }\)
Ratio of Distance of Segment A to C =3A is \(\frac{1}{3 }\)
So, time = Distance/Ration
For segment A: 1/2
For segment C 3/1
Total 3.5 or 7/2

The proportion for segment A becomes \(\frac{0.5}{3.5}\) = \(\frac{1}{7}\) * \(\frac{7}{10 }\)h = \(\frac{1}{10}\)h Thus, 140km/h * 1/10 = 14km

The proportion for segment A becomes \(\frac{3}{3.5}\) = \(\frac{6}{7}\)* \(\frac{7}{10 }\)h = \(\frac{6}{10}\)h Thus, 70km/h * 6/10 =42km
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Re: A portion of an automobile test track is divided into Segment A, Segme [#permalink] New post   29 Mar 2024, 04:24
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