December 13, 2018 December 13, 2018 08:00 AM PST 09:00 AM PST What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL. December 14, 2018 December 14, 2018 09:00 AM PST 10:00 AM PST 10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.
Author 
Message 
TAGS:

Hide Tags

Director
Joined: 17 Dec 2012
Posts: 632
Location: India

A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
Updated on: 26 Jul 2013, 06:10
Question Stats:
40% (02:08) correct 60% (02:07) wrong based on 247 sessions
HideShow timer Statistics
A car moving at an average speed of x miles/hr, traveled for x minutes. Did the car travel more than 100 miles? 1. The car traveled the second half of the distance in the same time it took to travel the first half. 2. The car traveled the first half in 30 minutes at the speed of x miles/hr.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Srinivasan Vaidyaraman Sravna Holistic Solutions http://www.sravnatestprep.com
Holistic and Systematic Approach



Senior Manager
Joined: 24 Aug 2009
Posts: 470
Schools: Harvard, Columbia, Stern, Booth, LSB,

Re: A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
26 Jul 2013, 05:19
SravnaTestPrep wrote: A car moving at an average speed of x miles/hr, traveled for x minutes. Did the car travel more than 100 miles?
1. The car traveled the second half of the distance in the same time as it took for the first half. 2. The car traveled the first half in 30 minutes at the speed of x miles/hr. Distance traveled in x min = \(x^2\)/60 The question is \(x^2\)/60 >100 or x >20 \(\sqrt{15}\) or x >80 (approximately) Statement 1 Time taken for 1st half = Time taken for 2nd half \(x^2\)/(120 . S1) = \(x^2\)/(120 . S2) S1= S2. i.e. The average speed for the whole journey is x miles/hr. No new info. Thus insufficient. Statement 2 Distance traveled in first half = \(x^2\)/120 Time taken for 1st half = \(x^2\)/(120x) = x/120 As per 2nd statement x/120 = 1/2 so x =60 Thus sufficient that the car did not travel more than 100 miles Answer B
_________________
If you like my Question/Explanation or the contribution, Kindly appreciate by pressing KUDOS. Kudos always maximizes GMATCLUB worth Game Theory
If you have any question regarding my post, kindly pm me or else I won't be able to reply



Intern
Status: WIP........
Joined: 12 Jun 2013
Posts: 3
Location: India
Concentration: International Business, Strategy
GMAT Date: 08302013
GPA: 3.38

Re: A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
26 Jul 2013, 08:52
SravnaTestPrep wrote: A car moving at an average speed of x miles/hr, traveled for x minutes. Did the car travel more than 100 miles?
1. The car traveled the second half of the distance in the same time it took to travel the first half. 2. The car traveled the first half in 30 minutes at the speed of x miles/hr. statement 1 It only said that car traveled both half with same avg speed, which is X, it does`nt tell anything about time that is needed to tell the distance traveled so insufficient. statement 2 it says that car traveled first half with avg speed X, which is the avg speed of whole journey, so it must have traveled the other half in same time and same avg speed. total time for entire journey is 30+30=60 min so avg speed is 60miles/hr Now we know time and speed so distance is 60* 60/60= 60 mile that is <100 Suffiecient Ans B



Senior Manager
Joined: 13 May 2013
Posts: 425

Re: A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
28 Jul 2013, 15:22
A car moving at an average speed of x miles/hr, traveled for x minutes. Did the car travel more than 100 miles?
Note that with this problem the car travels the same number of miles as it spends minutes on the road.
1. The car traveled the second half of the distance in the same time it took to travel the first half. All this tells us is that the car spent the same amount of time covering the 2nd half of the journey as it did the first. It could have traveled 20 miles/hr for 20 minutes or 100 miles/hr in 100 minutes. INSUFFICIENT
2. The car traveled the first half in 30 minutes at the speed of x miles/hr. The stem tells us that the car moves at an average of x miles/hr and traveled for x minutes. In this case, we are told that the car traveled the first 30 minutes at speed x, so according to the stem it traveled the first half in 30 minutes at 30 miles/hour. If it covered 1/2 of the journey in 30 minutes at 30 miles/hour it traveled 15 miles. If 1/2 of the journey was 15 miles then the 2nd half must be 15 miles as well. It did not cover more than 100 miles. SUFFICIENT
(B)
Although I got the question right it appears that some of my math was incorrect. For #2 it tells us that it travels the first half in 30 minutes at the speed of x miles/hr. In other words (the way I read it according to the stem) the car traveled 30 MPH which means that in one hour it traveled 30 miles, not 60. What am I doing wrong here?
Thanks!



Intern
Status: WIP........
Joined: 12 Jun 2013
Posts: 3
Location: India
Concentration: International Business, Strategy
GMAT Date: 08302013
GPA: 3.38

Re: A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
28 Jul 2013, 16:08
WholeLottaLove wrote: A car moving at an average speed of x miles/hr, traveled for x minutes. Did the car travel more than 100 miles?
Note that with this problem the car travels the same number of miles as it spends minutes on the road.
1. The car traveled the second half of the distance in the same time it took to travel the first half. All this tells us is that the car spent the same amount of time covering the 2nd half of the journey as it did the first. It could have traveled 20 miles/hr for 20 minutes or 100 miles/hr in 100 minutes. INSUFFICIENT
2. The car traveled the first half in 30 minutes at the speed of x miles/hr. The stem tells us that the car moves at an average of x miles/hr and traveled for x minutes. In this case, we are told that the car traveled the first 30 minutes at speed x, so according to the stem it traveled the first half in 30 minutes at 30 miles/hour. If it covered 1/2 of the journey in 30 minutes at 30 miles/hour it traveled 15 miles. If 1/2 of the journey was 15 miles then the 2nd half must be 15 miles as well. It did not cover more than 100 miles. SUFFICIENT
(B)
Although I got the question right it appears that some of my math was incorrect. For #2 it tells us that it travels the first half in 30 minutes at the speed of x miles/hr. In other words (the way I read it according to the stem) the car traveled 30 MPH which means that in one hour it traveled 30 miles, not 60. What am I doing wrong here?
Thanks! you have missed this A car moving at an average speed of x miles/hr, traveled for x minutes means total time is the avgspeed of entire journey not the time of first half that is 30 min X= 30min(first half)+ 30min(second half)= 60 min That leads to 60 mile/hour.. I hope it is clear now.



Senior Manager
Joined: 13 May 2013
Posts: 425

Re: A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
29 Jul 2013, 10:01
sohrab wrote: WholeLottaLove wrote: A car moving at an average speed of x miles/hr, traveled for x minutes. Did the car travel more than 100 miles?
Note that with this problem the car travels the same number of miles as it spends minutes on the road.
1. The car traveled the second half of the distance in the same time it took to travel the first half. All this tells us is that the car spent the same amount of time covering the 2nd half of the journey as it did the first. It could have traveled 20 miles/hr for 20 minutes or 100 miles/hr in 100 minutes. INSUFFICIENT
2. The car traveled the first half in 30 minutes at the speed of x miles/hr. The stem tells us that the car moves at an average of x miles/hr and traveled for x minutes. In this case, we are told that the car traveled the first 30 minutes at speed x, so according to the stem it traveled the first half in 30 minutes at 30 miles/hour. If it covered 1/2 of the journey in 30 minutes at 30 miles/hour it traveled 15 miles. If 1/2 of the journey was 15 miles then the 2nd half must be 15 miles as well. It did not cover more than 100 miles. SUFFICIENT
(B)
Although I got the question right it appears that some of my math was incorrect. For #2 it tells us that it travels the first half in 30 minutes at the speed of x miles/hr. In other words (the way I read it according to the stem) the car traveled 30 MPH which means that in one hour it traveled 30 miles, not 60. What am I doing wrong here?
Thanks! you have missed this A car moving at an average speed of x miles/hr, traveled for x minutes means total time is the avgspeed of entire journey not the time of first half that is 30 min X= 30min(first half)+ 30min(second half)= 60 min That leads to 60 mile/hour.. I hope it is clear now. Thanks for the response. I see your logic but I think I am confused by the wording of the problem. Here is my (incorrect) reasoning: Car x travels 30 minutes at x miles/hour. According to the stem, a car travels at x miles/hour for x minutes. In other words, the time the car spends on the road is how many miles/hour it travels. It travels the first half in 30 minutes at a rate of 30 miles/hour. In other words over the course of 30 minutes it travels 15 miles. I believe the correct methodology is: If the car travels the first half in 30 minutes then it takes an hour to complete the trip (i.e. 60 minutes) so according to the stem it does 60 miles/hour in 60 minutes or 60 miles. I just don't understand why it's solved this way as opposed to the way I did it.



Director
Joined: 17 Dec 2012
Posts: 632
Location: India

Re: A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
29 Jul 2013, 17:18
WholeLottaLove wrote: sohrab wrote: WholeLottaLove wrote: A car moving at an average speed of x miles/hr, traveled for x minutes. Did the car travel more than 100 miles?
Note that with this problem the car travels the same number of miles as it spends minutes on the road.
1. The car traveled the second half of the distance in the same time it took to travel the first half. All this tells us is that the car spent the same amount of time covering the 2nd half of the journey as it did the first. It could have traveled 20 miles/hr for 20 minutes or 100 miles/hr in 100 minutes. INSUFFICIENT
2. The car traveled the first half in 30 minutes at the speed of x miles/hr. The stem tells us that the car moves at an average of x miles/hr and traveled for x minutes. In this case, we are told that the car traveled the first 30 minutes at speed x, so according to the stem it traveled the first half in 30 minutes at 30 miles/hour. If it covered 1/2 of the journey in 30 minutes at 30 miles/hour it traveled 15 miles. If 1/2 of the journey was 15 miles then the 2nd half must be 15 miles as well. It did not cover more than 100 miles. SUFFICIENT
(B)
Although I got the question right it appears that some of my math was incorrect. For #2 it tells us that it travels the first half in 30 minutes at the speed of x miles/hr. In other words (the way I read it according to the stem) the car traveled 30 MPH which means that in one hour it traveled 30 miles, not 60. What am I doing wrong here?
Thanks! you have missed this A car moving at an average speed of x miles/hr, traveled for x minutes means total time is the avgspeed of entire journey not the time of first half that is 30 min X= 30min(first half)+ 30min(second half)= 60 min That leads to 60 mile/hour.. I hope it is clear now. Thanks for the response. I see your logic but I think I am confused by the wording of the problem. Here is my (incorrect) reasoning: Car x travels 30 minutes at x miles/hour. According to the stem, a car travels at x miles/hour for x minutes. In other words, the time the car spends on the road is how many miles/hour it travels. It travels the first half in 30 minutes at a rate of 30 miles/hour. In other words over the course of 30 minutes it travels 15 miles. I believe the correct methodology is: If the car travels the first half in 30 minutes then it takes an hour to complete the trip (i.e. 60 minutes) so according to the stem it does 60 miles/hour in 60 minutes or 60 miles. I just don't understand why it's solved this way as opposed to the way I did it. Hi, The x minutes given in the stem is the total time taken. For example if the car travels for 30 minutes in the first half it totally takes 60 minutes . Therefore the speed is 60 miles /hour
_________________
Srinivasan Vaidyaraman Sravna Holistic Solutions http://www.sravnatestprep.com
Holistic and Systematic Approach



Director
Joined: 17 Dec 2012
Posts: 632
Location: India

Re: A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
29 Jul 2013, 17:46
Solution Speed is given as x miles/hr and time traveled is given as x minutes or x/60 hrs. We need to find the total distance traveled i.e., x*x/60. In other words if we can find x we can answer the question. Statement 1:Time traveled is the same in both the halves. So the speed is also the same. Taking the stem into account we know the time taken is x/2 minutes in each half and the speed is x miles /hr in each half and the distance traveled is (x*x / 60)/2 in each half. But we cannot find x based on the above information. So this statement by itself is insufficient. Statement 2: The car traveled 30 minutes in the first half. It traveled at the speed of x miles/hour. Since the average speed of the travel is x miles/hr too, the car should have traveled at the same speed in the second half also and therefore traveled for the same time it traveled in the first half. The total time taken is 30+ 30 minutes= 60 minutes. We have found out x as 60. Speed is therefore 60 miles /hr. Total distance is x*x/60 = 60 miles. Now we can answer the question because we know x. Thus this statement by itself is sufficient. Therefore answer B.
_________________
Srinivasan Vaidyaraman Sravna Holistic Solutions http://www.sravnatestprep.com
Holistic and Systematic Approach



Senior Manager
Joined: 13 May 2013
Posts: 425

Re: A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
30 Jul 2013, 08:31
I see now. The stem is referring to the entire trip, not just one part of 1/2 of it. I am not used to the wording of these questions so I think more review will help me. I admit though, I am still a bit confused as to how #2 can say 30 minutes and why we don't plug in 30 for x for 30 miles/hour.
Thanks for the response!



Senior Manager
Joined: 02 Apr 2014
Posts: 474

Re: A car moving at an average speed of x miles/hr, traveled
[#permalink]
Show Tags
01 Jan 2018, 09:54
time taken = \(x/60\) hr, speed = \(x\) miles/hr distance = \(x^2/60\)
question is \(x^2/60\) > 100 ? => \(x^2 > 6000\) ?
Statement 1: time taken for the first half is same as time taken for the second half halfdistance = \(x^2/120\) \(x^2/(120 * v1) = x^2/(120 * v2)\) => \(v1 = v2\) no info about x, as x cancels each other => insuff
Statement 2: The car traveled the first half in 30 minutes at the speed of x miles/hr. time taken for half distance = \(x^2/(120 * x)\) = 1/2 (30 mins) => \(x = 60\) => \(x^2 < 6000\) => answers our question as NO
Answer (B)




Re: A car moving at an average speed of x miles/hr, traveled &nbs
[#permalink]
01 Jan 2018, 09:54






