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A portion of an automobile test track is divided into Segment A, Segme
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07 May 2020, 00:27
07 May 2020, 00:27
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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
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 |
Length of Segment A (kilometers): 14
Length of Segment C (kilometers): 42
Length of Segment C (kilometers): 42
GMAT Club team member
Joined: 02 Nov 2016
Status:GMAT Club Team Member
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GPA: 3.62
Re: A portion of an automobile test track is divided into Segment A, Segme
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06 Apr 2021, 01:26
06 Apr 2021, 01:26
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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.
Re: A portion of an automobile test track is divided into Segment A, Segme
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12 May 2020, 07:55
12 May 2020, 07:55
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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
Posted from my mobile device
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
Posted from my mobile device
General Discussion
Re: A portion of an automobile test track is divided into Segment A, Segme
[#permalink]
12 May 2020, 10:29
12 May 2020, 10:29
1
Kudos
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.
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.
Re: A portion of an automobile test track is divided into Segment A, Segme
[#permalink]
23 Oct 2021, 07:11
23 Oct 2021, 07:11
1
Kudos
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
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 |
Length of Segment A (kilometers): 14
Length of Segment C (kilometers): 42
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
gmatclubot
Re: A portion of an automobile test track is divided into Segment A, Segme [#permalink]
23 Oct 2021, 07:11
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