Oct 20 07:00 AM PDT  09:00 AM PDT Get personalized insights on how to achieve your Target Quant Score. Oct 22 08:00 PM PDT  09:00 PM PDT On Demand for $79. For a score of 4951 (from current actual score of 40+) AllInOne Standard & 700+ Level Questions (150 questions) Oct 23 08:00 AM PDT  09:00 AM PDT Join an exclusive interview with the people behind the test. If you're taking the GMAT, this is a webinar you cannot afford to miss! Oct 26 07:00 AM PDT  09:00 AM PDT Want to score 90 percentile or higher on GMAT CR? Attend this free webinar to learn how to prethink assumptions and solve the most challenging questions in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Retired Moderator
Joined: 29 Apr 2015
Posts: 822
Location: Switzerland
Concentration: Economics, Finance
WE: Asset Management (Investment Banking)

Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
24 May 2015, 04:35
Question Stats:
67% (02:27) correct 33% (02:29) wrong based on 163 sessions
HideShow timer Statistics
Jasmin and Ron drive at constant speeds toward each other on a certain route. Jasmin drives at a constant speed of 25 miles per hour. At a certain time they pass by each other, and then keep on driving away from each other, maintaining their speeds. If Jasmin is 105 miles away from Ron at 8am, and also 105 miles away from Ron later, at 11am, then Ron is driving at how many miles per hour? A. 10 B. 15 C. 20 D. 35 E. 45
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Saving was yesterday, heat up the gmatclub.forum's sentiment by spending KUDOS!
PS Please send me PM if I do not respond to your question within 24 hours.



GMAT Tutor
Joined: 24 Jun 2008
Posts: 1806

Re: Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
24 May 2015, 08:09
In the 3 hours between 8am and 11am, the two of them combined covered a total of 105+105 = 210 miles. So together, they're covering 210/3 = 70 miles per hour. That must be the sum of their speeds, so if Jasmin is driving 25 miles per hour, then Ron's speed is 7025 = 45 mph.
_________________
GMAT Tutor in Toronto
If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com



Senior Manager
Status: Math is psychological
Joined: 07 Apr 2014
Posts: 402
Location: Netherlands
GMAT Date: 02112015
WE: Psychology and Counseling (Other)

Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
21 Jun 2015, 04:31
I cannot say that I understand the question... I ended up with 25.
First of all, we don't know at what time they start travelling. Saying that at 8.00 they are 105 miles apart and at 11.00 they are 105 miles apart as well, only tells us that this is how many km apart from each other they were at these 2 times.
So, what I did was to start at a distance of 105 km difference:
Time..............J....R 8.00............105....0 9.00............130 10.00..........155 11.00..........180....75
Now, at 11.00 they are 180105 = 75 km apart. It has been 3 hours and R covered 75 km. So, 75/3 = 25.
I don't see how we can assume that 105+105 = 210 km is the total distance they have covered...



Math Expert
Joined: 02 Aug 2009
Posts: 7984

Re: Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
21 Jun 2015, 04:40
pacifist85 wrote: I cannot say that I understand the question... I ended up with 25.
First of all, we don't know at what time they start travelling. Saying that at 8.00 they are 105 miles apart and at 11.00 they are 105 miles apart as well, only tells us that this is how many km apart from each other they were at these 2 times.
So, what I did was to start at a distance of 105 km difference:
Time..............J....R 8.00............105....0 9.00............130 10.00..........155 11.00..........180....75
Now, at 11.00 they are 180105 = 75 km apart. It has been 3 hours and R covered 75 km. So, 75/3 = 25.
I don't see how we can assume that 105+105 = 210 km is the total distance they have covered... Hi, J and R are 105 kms away and are travelling towards each other. they meet each other after sometime, which means they travelled this 105 kms and they continue travelling . now they are moving away from each other and at 11 are 105 kms away from each other... so they have travelled 105 kms + 105 kms= 210 kms... they start at 8 and have travelled 210 kms at 11. so total time =3 hrs .. their combined speed =210/3=70kms. J ha s25 kph speed so R's speed =7025=45kph ans E hope it is clear
_________________



Senior Manager
Status: Math is psychological
Joined: 07 Apr 2014
Posts: 402
Location: Netherlands
GMAT Date: 02112015
WE: Psychology and Counseling (Other)

Re: Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
21 Jun 2015, 05:12
chetan2u wrote: pacifist85 wrote: I cannot say that I understand the question... I ended up with 25.
First of all, we don't know at what time they start travelling. Saying that at 8.00 they are 105 miles apart and at 11.00 they are 105 miles apart as well, only tells us that this is how many km apart from each other they were at these 2 times.
So, what I did was to start at a distance of 105 km difference:
Time..............J....R 8.00............105....0 9.00............130 10.00..........155 11.00..........180....75
Now, at 11.00 they are 180105 = 75 km apart. It has been 3 hours and R covered 75 km. So, 75/3 = 25.
I don't see how we can assume that 105+105 = 210 km is the total distance they have covered... Hi, J and R are 105 kms away and are travelling towards each other. they meet each other after sometime, which means they travelled this 105 kms and they continue travelling . now they are moving away from each other and at 11 are 105 kms away from each other... so they have travelled 105 kms + 105 kms= 210 kms... they start at 8 and have travelled 210 kms at 11. so total time =3 hrs .. their combined speed =210/3=70kms. J ha s25 kph speed so R's speed =7025=45kph ans E hope it is clear Actually, I realised my mistake... Because they are travelling towards each other, I should have subtracted the distance that was being covered by the one travelling at 25 km, instead of adding it...



VP
Joined: 07 Dec 2014
Posts: 1224

Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
Updated on: 11 May 2018, 10:39
reto wrote: Jasmin and Ron drive at constant speeds toward each other on a certain route. Jasmin drives at a constant speed of 25 miles per hour. At a certain time they pass by each other, and then keep on driving away from each other, maintaining their speeds. If Jasmin is 105 miles away from Ron at 8am, and also 105 miles away from Ron later, at 11am, then Ron is driving at how many miles per hour?
A. 10 B. 15 C. 20 D. 35 E. 45 let r=Ron's rate 3/2 hrs*(25+r) mph=105 miles r=45 mph E
Originally posted by gracie on 09 Jan 2017, 19:34.
Last edited by gracie on 11 May 2018, 10:39, edited 1 time in total.



Senior Manager
Joined: 02 Apr 2014
Posts: 468
Location: India
GPA: 3.5

Re: Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
21 Feb 2018, 12:41
J(start)<105>R(start) => 8 AM R(end)<30>J(start)75J(end)30R(start) => 11AM so (75 + 30 + 30)/3 = R speed, R = 45 m/hr



Manager
Joined: 09 Nov 2015
Posts: 135

Re: Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
22 Feb 2018, 01:23
This is a different and slightly more detailed/explanatory approach which, I hope, will alleviate the confusion. Following are the positions of Jasmin (J) and Ron (R) at three different points of time: (A) at 8:00am when they are 105 miles apart and driving towards each other; (B) when they meet after driving for (say) t hours; and (C) at 11:00am when they are again 105 miles apart after driving away from each other. (A) J>>……………………………………………<<R at 8:00am (B) ……………..(J/R)…………………….. at (8+t) am (C) <<R…………………………………………….>>J at 11:00am Jasmin and Ron each drive continuously for 3 hours (8:00am to 11:00am). Let us break this down into two segments: (i) when they drive towards each other until they meet and (ii) when they drive away from each other until they are again 105 miles apart. Assuming Ron’s speed is x mph, Jasmin and Ron cover 25t and xt miles respectively until they meet (Segment (i)) and 25(3t) miles and x(3t) miles when they drive away from each other after crossing and until they are again 105 miles apart (Segment (ii)). But in each of the segments they are covering 105 miles. So we can formulate the following equations: (i) 25t + xt = 105 >> t=(105/25+x) (ii) 25(3t) + x(3t)=105>> Substituting the value of t from (i) x=45 mph. Answer: E.



Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9706
Location: Pune, India

Re: Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
22 Feb 2018, 02:26
reto wrote: Jasmin and Ron drive at constant speeds toward each other on a certain route. Jasmin drives at a constant speed of 25 miles per hour. At a certain time they pass by each other, and then keep on driving away from each other, maintaining their speeds. If Jasmin is 105 miles away from Ron at 8am, and also 105 miles away from Ron later, at 11am, then Ron is driving at how many miles per hour?
A. 10 B. 15 C. 20 D. 35 E. 45 The distance between them is 105 miles and after 3 hrs it is 105 miles again. So they must have been 105 miles away while they were travelling towards each other and then after they met, they would have traveled another 105 miles away from each other. So they have together traveled 105+105 = 210 miles in 3 hrs. Relative Speed = 210/3 = 70 = Speed of Jasmin + Speed of Ron (since they were travelling towards each other) Jasmin drives at 25 mph so Ron drives at 70  25 = 45 mph. Answer (E)
_________________
Karishma Veritas Prep GMAT Instructor
Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >



Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2815

Re: Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
26 Feb 2018, 10:45
reto wrote: Jasmin and Ron drive at constant speeds toward each other on a certain route. Jasmin drives at a constant speed of 25 miles per hour. At a certain time they pass by each other, and then keep on driving away from each other, maintaining their speeds. If Jasmin is 105 miles away from Ron at 8am, and also 105 miles away from Ron later, at 11am, then Ron is driving at how many miles per hour?
A. 10 B. 15 C. 20 D. 35 E. 45 We use the formula: rate x time = distance. We know that Jasmin’s distance plus Ron’s distance = 2 x 105 = 210 miles. Letting Ron’s rate = r, we can create the equation: 25(3) + 3r = 210 3r = 135 r = 45 Answer: E
_________________
5star rated online GMAT quant self study course See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews
If you find one of my posts helpful, please take a moment to click on the "Kudos" button.



GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5021
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)

Re: Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
Show Tags
26 Sep 2019, 11:41
reto wrote: Jasmin and Ron drive at constant speeds toward each other on a certain route. Jasmin drives at a constant speed of 25 miles per hour. At a certain time they pass by each other, and then keep on driving away from each other, maintaining their speeds. If Jasmin is 105 miles away from Ron at 8am, and also 105 miles away from Ron later, at 11am, then Ron is driving at how many miles per hour?
A. 10 B. 15 C. 20 D. 35 E. 45 total distance ; 105+105 ; 210 miles time ; 3 hrs so speed ; 210/3 ; 70 mph relative so speed of Ron ; 7025 ; 45 mph IMO E




Re: Jasmin and Ron drive at constant speeds toward each other on a certain
[#permalink]
26 Sep 2019, 11:41






