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This does not look like a 700+ question. Probably it is 600-650 level. Since I saw the level before solving, I doubted that the answer will be comparatively this simple. I personally take >3 / 3.5 mins to solve a 700+ question. Can an expert please revisit the difficulty tag chetan2u gmatphobia? Thanks!

It may be that you are good at concepts of speed and distance. And also with time and practice, you are improving your speed. :)

By the way it is all the method you pick up.

If I were to answer it
In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles. What was the truck's average speed during this period of time?

(1) During the first 30 minutes, the sports car traveled 30 miles.
Nothing about the truck.

(2) The truck's average speed was 10 miles per hour less than the sports car's.
so, sports car travels 10 miles extra in one hour. The car will travel 120-100 or 20 miles extra in 2 hours.
Speed of truck = 100 in 2 hours = 50 mph.

May be 20 seconds. So, a lot depends on what logic you use where.
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Can you please explain why Statement 1 is not sufficient?
We can use the time and distance given in statement 1 to calculate the speed of the car (Speed of car = 30/0.5). Next, using the speed of the car back in the equation for total time = distance/speed, i.e., 120/60 = 2 hours.
Now the total time for both car and truck is equal, so we can further use it to calculate the speed of the truck = 100/2 = 50.

I think the answer should be D. Please let me know if I am understanding it wrong.
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Can you please explain why Statement 1 is not sufficient?
We can use the time and distance given in statement 1 to calculate the speed of the car (Speed of car = 30/0.5). Next, using the speed of the car back in the equation for total time = distance/speed, i.e., 120/60 = 2 hours.
Now the total time for both car and truck is equal, so we can further use it to calculate the speed of the truck = 100/2 = 50.

I think the answer should be D. Please let me know if I am understanding it wrong.
­
I believe your doubt is addressed here: 

https://gmatclub.com/forum/in-the-same- ... l#p3306334

P.S. Also, please note that this is a GMAT Prep Focus question and the OA is B, not D. You can check the OA under the spoiler in the original post.
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Bunuel

shah652
Can you please explain why Statement 1 is not sufficient?
We can use the time and distance given in statement 1 to calculate the speed of the car (Speed of car = 30/0.5). Next, using the speed of the car back in the equation for total time = distance/speed, i.e., 120/60 = 2 hours.
Now the total time for both car and truck is equal, so we can further use it to calculate the speed of the truck = 100/2 = 50.

I think the answer should be D. Please let me know if I am understanding it wrong.
­
I believe your doubt is addressed here: 

https://gmatclub.com/forum/in-the-same- ... l#p3306334

P.S. Also, please note that this is a GMAT Prep Focus question and the OA is B, not D. You can check the OA under the spoiler in the original post.
­Hello,

even I have the same doubt. 
In general we assume if the speed is not constant, when it is explicitly given that it is not.

So here I assumed speed is constant and then marked D.

Is this pattern followed in Gmat? 

Thank you for your help 
 
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thr3at

In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles. What was the truck's average speed during this period of time?

(1) During the first 30 minutes, the sports car traveled 30 miles.
(2) The truck's average speed was 10 miles per hour less than the sports car's.

In general we assume if the speed is not constant, when it is explicitly given that it is not.

So here I assumed speed is constant and then marked D.

Is this pattern followed in Gmat? 

Thank you for your help 
(1) states that during the first 30 minutes, the sports car traveled 30 miles, which translates to an average speed of 60 miles per hour for that segment. However, we cannot assume the same average speed for the remaining 90 miles. Assuming constant speed throughout the journey is an unsupported assumption, which should be avoided in Data Sufficiency questions.­
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I marked D and fell in a classic GMAT trap. If the questions does not mention that the speed for the sports car was constant, do not assume that it is constant.
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In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles. What was the truck's average speed during this period of time?

Average Rate = Total Distance/Total Time

So, since the sports car and the truck traveled for the same length of time, the relationship between their rates can be determined in the following way:

Sports Car Rate = 120/T

Truck Rate = 100/T

Sports Car Rate = 1.2 × Truck Rate

(1) During the first 30 minutes, the sports car traveled 30 miles.

This gives the sport car's distance and time for the first 30 miles and 30 minutes.

To calculate the sports car's average rate, we need the total distance and total time.

So, this information is not sufficient for determining the sports car's average rate and clearly isn't sufficient for determining the truck's average rate.

Insufficient.

(2) The truck's average speed was 10 miles per hour less than the sports car's.

From the passage, we have the following:

Sports Car Rate = 1.2 × Truck Rate

Now, from this statement, we have the absolute difference between the two rates, 10, meaning the following:

Sports Car Rate = Truck Rate + 10

Thus, we know the following:

Truck Rate + 10 = 1.2 × Truck Rate

Without going further, we can see that this information is sufficient for determining the truck's rate.

Sufficient.

Correct answer: B
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I am confused,

in few questions we say that when average speed is given that doesnt mean its uniform / constant speed so we cant take that
here we took it?

confused in this concept. please help

Bunuel
gmatophobia
pablovaldesvega
In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles. What was the truck's average speed during this period of time?

(1) During the first 30 minutes, the sports car traveled 30 miles.
(2) The truck's average speed was 10 miles per hour less than the sports car's.

A – (1) ALONE is sufficient, but (2) alone is not sufficient.
B – (2) ALONE is sufficient, but (1) alone is not sufficient.
C – TOGETHER are sufficient, but NEITHER ALONE is sufficient.
D – EACH ALONE is sufficient.
E – NEITHER ALONE NOR TOGETHER is the statements sufficient.

Given:

In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles.

  • Average speed of the sport's car = \(s_1\)
  • Average speed of the truck = \(s_2\)

\(\frac{120}{s_1} = \frac{100}{s_2}\)

Inference: As we know the ratio of \(s_1\) and \(s_2\), knowing one value we can find the value of the other. Alternatively, if we can find the relationship between \(s_1\) and \(s_2\), we can find the values.

Statement 1

(1) During the first 30 minutes, the sports car traveled 30 miles.

With the given information we can only find the average speed of the car in the first 30 minutes. We don't know if the travel time was only 30 minutes or was more than that. Hence, we don't have sufficient information to find the average speed of the sports car for the entire journey.

The statement alone is not sufficient and we can eliminate A and D.

Statement 2

(2) The truck's average speed was 10 miles per hour less than the sports car's.

\(s_2 = s_1 - 10\)

This statement is sufficient as it presents a relationship between the average speed of the truck and the average speed of the car.

\(\frac{120}{s_1} = \frac{100}{s_1 - 10}\)

Solving further \(s_1\) = 60, and \(s_2\) = 50.

Option B
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rak08
I am confused,

in few questions we say that when average speed is given that doesnt mean its uniform / constant speed so we cant take that
here we took it?

confused in this concept. please help

Bunuel
gmatophobia
pablovaldesvega
In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles. What was the truck's average speed during this period of time?

(1) During the first 30 minutes, the sports car traveled 30 miles.
(2) The truck's average speed was 10 miles per hour less than the sports car's.

A – (1) ALONE is sufficient, but (2) alone is not sufficient.
B – (2) ALONE is sufficient, but (1) alone is not sufficient.
C – TOGETHER are sufficient, but NEITHER ALONE is sufficient.
D – EACH ALONE is sufficient.
E – NEITHER ALONE NOR TOGETHER is the statements sufficient.

Given:

In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles.

  • Average speed of the sport's car = \(s_1\)
  • Average speed of the truck = \(s_2\)

\(\frac{120}{s_1} = \frac{100}{s_2}\)

Inference: As we know the ratio of \(s_1\) and \(s_2\), knowing one value we can find the value of the other. Alternatively, if we can find the relationship between \(s_1\) and \(s_2\), we can find the values.

Statement 1

(1) During the first 30 minutes, the sports car traveled 30 miles.

With the given information we can only find the average speed of the car in the first 30 minutes. We don't know if the travel time was only 30 minutes or was more than that. Hence, we don't have sufficient information to find the average speed of the sports car for the entire journey.

The statement alone is not sufficient and we can eliminate A and D.

Statement 2

(2) The truck's average speed was 10 miles per hour less than the sports car's.

\(s_2 = s_1 - 10\)

This statement is sufficient as it presents a relationship between the average speed of the truck and the average speed of the car.

\(\frac{120}{s_1} = \frac{100}{s_1 - 10}\)

Solving further \(s_1\) = 60, and \(s_2\) = 50.

Option B

The average speeds mentioned in Statement (2) are for the entire distance, not just a portion of the trip. So yes, it’s valid to use the relationship between those averages to solve. Statement (2) gives a direct equation between the full-trip averages, which is exactly what’s needed here.

In contrast, Statement (1) only gives the average speed of the sports car over the first 30 miles. That’s just part of the total distance, and we cannot assume the same average speed continued afterward. That would be an unsupported assumption.

So (2) is sufficient, while (1) is not.
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pablovaldesvega
In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles. What was the truck's average speed during this period of time?

(1) During the first 30 minutes, the sports car traveled 30 miles.
(2) The truck's average speed was 10 miles per hour less than the sports car's.

A – (1) ALONE is sufficient, but (2) alone is not sufficient.
B – (2) ALONE is sufficient, but (1) alone is not sufficient.
C – TOGETHER are sufficient, but NEITHER ALONE is sufficient.
D – EACH ALONE is sufficient.
E – NEITHER ALONE NOR TOGETHER is the statements sufficient.

In the same period of time that a sports car traveled 120 miles, a truck traveled 100 miles. They covered distance in the ratio 6:5 so their avg speeds would also be in the ratio 6:5 (time is same).

(1) During the first 30 minutes, the sports car traveled 30 miles.

Doesn't tell us anything about the car's average speed during the 120 mile trip. We just know that during the first 30 miles, the car avg speed was 60 mph. But what about its average speed for the rest of the distance? It could have slowed down or sped up.
Not sufficient alone.

(2) The truck's average speed was 10 miles per hour less than the sports car's.

Avg speef of car:truck = 6:5. This difference of 1 is actually 10 mph. So their avg speeds are 60 mph and 50 mph respectively.
Sufficient alone.

Answer (B)

Here is a post and video discussing how to use ratios: https://anaprep.com/arithmetic-ratios-t ... ll-starts/
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