Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 23 Jan 2008
Posts: 108

If Paula drove the distance from her home to her college at [#permalink]
Show Tags
03 Feb 2008, 12:53
3
This post was BOOKMARKED
Question Stats:
81% (01:49) correct
19% (01:15) wrong based on 177 sessions
HideShow timer Statistics
If Paula drove the distance from her home to her college at an average speed that was greater than 70 kilometers per hour, did it take her less than 3 hours to drive this distance? 1) The distance that Paula drove from her home to her college was greater than 200 kilometers. 2) The distance that Paula drove from her home to her college was less than 205 kilometers. OPEN DISCUSSION OF THIS QUESTION IS HERE: ifpauladrovethedistancefromherhometohercollegeat135196.html
Official Answer and Stats are available only to registered users. Register/ Login.



CEO
Joined: 17 Nov 2007
Posts: 3583
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth)  Class of 2011

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
03 Feb 2008, 14:27
B1. (70kmh and 20000km: t>3h) and (70000kmh and 201km: t<3h). insuff. 2. t<205/70~2.93h. suff.
_________________
HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android)  The OFFICIAL GMAT CLUB PREP APP, a musthave app especially if you aim at 700+  PrepGame



Manager
Joined: 23 Jan 2008
Posts: 108

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
03 Feb 2008, 16:16
walker wrote: B
1. (70kmh and 20000km: t>3h) and (70000kmh and 201km: t<3h). insuff. 2. t<205/70~2.93h. suff. hey can u please explain it more clearly satement 1 ? from where does it come 20000 and 70000. thanx



SVP
Joined: 28 Dec 2005
Posts: 1559

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
03 Feb 2008, 19:17
walker is just picking numbers to demonstrate.
stat 1 just tells us what the distance is greater than ... think about it ... paula could have driven 210 kms, 300 ... 400 ... 500 ... any of these distances would change the amount of time she drove (varying with speed of course). so it could be less than 3 hrs, or more ... no way to tell.
stat 2 tells us what the distance is less than. lets say it was 204 kms ... take a speed of anything over 70, and you will see that the time always works out to less than 3 hours. suff



CEO
Joined: 17 Nov 2007
Posts: 3583
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth)  Class of 2011

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
03 Feb 2008, 23:49
[quote="blog"]If paula drove the distance from her home to her college at an average speed that was greater than 70 kms per hour, did it take her less than 3 hrs to drive the distance ? 1. The distance that paula drove from her home to her college was greater than 200 kms. \(V_{av}>70kmh\) \(L>200kmh\) \(t=\frac{L}{V_{av}}\) \(max(t)=\frac{max(L)}{min(V_{av})}=\frac{\infty}{70}=\infty\) \(min(t)=\frac{min(L)}{max(V_{av})}=\frac{200}{\infty}=0\) I used 70000kmh and 20000km instead of \(\infty\)
_________________
HOT! GMAT TOOLKIT 2 (iOS) / GMAT TOOLKIT (Android)  The OFFICIAL GMAT CLUB PREP APP, a musthave app especially if you aim at 700+  PrepGame



Director
Joined: 05 Jan 2008
Posts: 687

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
04 Feb 2008, 03:23
Avg Speed is > 70 KMH => let us say 71 km 1> Distance Greater than 200 Kms => the distance could be 201 or any value above 200 Kms if it is 71*3=> 213 Km ( if the distance is less than 213, then it will be less than 3 hours) but if the distance is greater than 213 it would be more thus 1 is not sufficient. 2> 205 Kms is less than 213 Kms thus it is sufficient if we know B to answer the questions thus B is the answer
_________________
Persistence+Patience+Persistence+Patience=G...O...A...L



Manager
Joined: 03 Aug 2011
Posts: 239
Location: United States
Concentration: General Management, Entrepreneurship
GPA: 3.38
WE: Engineering (Computer Software)

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
19 Sep 2011, 23:42
If Paula drove the distance from her home to her college at an average speed that was greater than 70 kilometers per hour, did it take her less than 3 hours to drive this distance? (1) The distance that Paula drove from her home to her college was greater than 200 kilometers. (2) The distance that Paula drove from her home to her college was less than 205 kilometers.
I'm a bit confused on how to do this problem, i know the basic D=RT, but I really get thrown off since two of the variables are given as > or <



Current Student
Joined: 26 May 2005
Posts: 563

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
19 Sep 2011, 23:48
pinchharmonic wrote: If Paula drove the distance from her home to her college at an average speed that was greater than 70 kilometers per hour, did it take her less than 3 hours to drive this distance? (1) The distance that Paula drove from her home to her college was greater than 200 kilometers. (2) The distance that Paula drove from her home to her college was less than 205 kilometers.
I'm a bit confused on how to do this problem, i know the basic D=RT, but I really get thrown off since two of the variables are given as > or < For the total time to be less than 3 hrs @ 70km/hr the distance shud be less than 3*70 = 210km St1: distance is >200 km suppose the distance is 201 , then at an avg speed of 70km/hr it will take him 201/70 , which is less then 3 hrs but suppose the distance is 280 km then it will take 280/70 = 4 , more then 3 hrs hence insufficient st2: this tells us that distance was <205 , which means its <210 as well . Hence sufficient



Manager
Joined: 14 Mar 2011
Posts: 202

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
19 Sep 2011, 23:57
The question says paula drove from her home to her college at a speed more than 70 kmph. how much more ? we don't know. may be 70.0001 kmph , may be 75 kmph etc etc. atleast her speed is more than 70. for convenience take her speed 70 kmph. so at this speed if she drives for 3 hrs she will travel atleast 3 * 70 =210 km. so essentially if her college's distance is less than 210 km we will get a definite answer as it will mean she does travels the distance in less than 3hrs.
statement 1 ) Insufficient  this statement says the distance to her college is more than 200 km. it could be 205 , it could be 300 km. If distance is 205 km then she did travel in less than 3 hrs, if distance is 300 km , we cant say she travelled in less than 3hrs or not. so insufficient.
statement 2 ) sufficient  the statement says the distance was less than 205 km, we know from question stem itself if distance is less than 210, paula definitely will travel that in less than 3 hrs. this is sufficient.
Answer B



Manager
Status: Retaking next month
Affiliations: None
Joined: 05 Mar 2011
Posts: 217
Location: India
Concentration: Marketing, Entrepreneurship
GPA: 3.01
WE: Sales (Manufacturing)

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
20 Sep 2011, 03:28
+ 1 for B. Took me 2 minutes.



Manager
Status: Essaying
Joined: 27 May 2010
Posts: 148
Location: Ghana
Concentration: Finance, Finance
GPA: 3.9
WE: Accounting (Education)

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
20 Sep 2011, 03:49
If paula drove the distance from her home to her college at an average speed that was greater than 70 kms per hour, did it take her less than 3 hrs to drive the distance ?
1. The distance that paula drove from her home to her college was greater than 200 kms. If distance is greater than 200 kms then it could be 201 kms. With assume speed 71 kms; 201/71 = 2.83 hrs less than 3 hours But then distance can be 400kms which is greater than 200 kms. With assumed speed of 71 ; 400/71 = 5.6 hrs more than 3 hours. Insufficient.
2. The distance that paula drove from her home to her college was less than 205 kms. With distance less than 205 kms, pick 204 kms... Speed 71; 204/71 = 2.83 hrs... The numerator can only drop thereby reducing the time. Sufficient.



Manager
Joined: 03 Aug 2011
Posts: 239
Location: United States
Concentration: General Management, Entrepreneurship
GPA: 3.38
WE: Engineering (Computer Software)

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
20 Sep 2011, 10:30
i notice a lot of people doing what i inititally tried, using 71 for > 70, etc. I did not think that was the right approach, in fact, the answer explanation uses none of that.
i think my question is better clarified by modifying the problem a bit, i see now that because this is data sufficiency, the details I'm after can be ignored.
speed > 70mph distance > 210
what is the range of values for t? in other words, are there decimal values of speed & distance that can make t exactly 3?



GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15915

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
12 Jan 2017, 19:18
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources



Intern
Joined: 18 Jan 2017
Posts: 38

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
20 Jan 2017, 00:57
Even with the minimum speed of 70 kph, Paula could have traveled 210 km in 3 hours.
B says that the distance is 205 km. So, clearly Paula took < 3 hours.



Math Expert
Joined: 02 Sep 2009
Posts: 39589

Re: If Paula drove the distance from her home to her college at [#permalink]
Show Tags
20 Jan 2017, 07:17




Re: If Paula drove the distance from her home to her college at
[#permalink]
20 Jan 2017, 07:17







