Author 
Message 
TAGS:

Hide Tags

Senior Manager
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 286

Lionel left his house and walked towards Walt's house, 48 miles away.
[#permalink]
Show Tags
11 Aug 2011, 11:06
Question Stats:
72% (01:17) correct 28% (01:25) wrong based on 546 sessions
HideShow timer Statistics
Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 4 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt? A. 12 B. 16 C. 20 D. 24 E. 28 Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 4 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?
For Li : R= 4, Time = t => Distance = 4t
For Wal: R= 6, Time = t2 => Distance = 6(t2)
one can easily solve this question with this information.
My question is : how Time for Wal is " t2" ?? According to question, lets say, Li left home at 4pm, two hours later Wal left his house, it means 6pm. wouldn't it be ( t+2) in algebraic way.
Thanks
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
I'm the Dumbest of All !!




Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8188
Location: Pune, India

Re: Lionel left his house and walked towards Walt's house, 48 miles away.
[#permalink]
Show Tags
15 Aug 2011, 22:15
shrive555 wrote: Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 4 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?
I think piyatiwari and fluke have already explained you what the variable t stands for. Now let's see how to solve this question without any variables. For the first two hrs, only Lionel was walking at a speed of 4 miles/hr. So he covered 8 miles in that time. Now the distance between him and Walt is 40 miles. Now, Lionel is walking toward Walt at 4 miles/hr and Walt is running toward Lionel at 6 miles/hr. So they are covering 10 miles every hour. They will together cover 40 miles in 4 hrs. In these 4 hrs, Lionel walked 4*4 = 16 miles. He also walked 8 miles in the first two hrs. Hence he covered a total of 16+8 = 24 miles
_________________
Karishma Veritas Prep GMAT Instructor
Save up to $1,000 on GMAT prep through 8/20! Learn more here >
GMAT selfstudy has never been more personalized or more fun. Try ORION Free!




Senior Manager
Joined: 28 Jun 2009
Posts: 408
Location: United States (MA)

Re: Lionel left his house and walked towards Walt's house, 48 miles away.
[#permalink]
Show Tags
11 Aug 2011, 13:07
Answer is 24.
My way of solving such questions is altogether different. I used diagrams and divided the distance in fractions of 4 and 6. Anyway.
Answering your question, they have taken t2 because W left his lous 2 hours after L started. Means L walked for 2 more hours. Dont confuse it with actual time of the day.
Simplyfying it,
 Keep the first 2 hours aside for sometime. L walked 8 miles in those 2 hours. So distance left is 48  8 = 40 miles  L walks 4 miles per hour and W walks 6 miles per hour. The meet when they have walked for similar time. Let the time be T
putting this in equation, 4T + 6T = 40 so T = 4. Tells us, both walked for 4 hours when they met.
So L walked for 4*4 = 16 miles . Adding his initial 8 miles, he waked for 24 miles in total.



Retired Moderator
Joined: 20 Dec 2010
Posts: 1877

Re: Lionel left his house and walked towards Walt's house, 48 miles away.
[#permalink]
Show Tags
11 Aug 2011, 23:25
shrive555 wrote: Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 4 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?
For Li : R= 4, Time = t => Distance = 4t
For Wal: R= 6, Time = t2 => Distance = 6(t2)
one can easily solve this question with this information.
My question is : how Time for Wal is " t2" ?? According to question, lets say, Li left home at 4pm, two hours later Wal left his house, it means 6pm. wouldn't it be ( t+2) in algebraic way.
Thanks t is not the "time" in literal sense. It is the time taken Walt. As Walt started 2 hours late, the time he takes for the travel is 2 hours less than Lionel's. Thus, (t2) e.g. A starts at 1:00PM and walks B starts at 4:00PM, runs swiftly, and catches A at 5:00PM By 5:00 PM: A would have walked for t hours i.e. 4 hours B would have run for (t3) hours i.e. (43)=1 hour
_________________
~fluke
GMAT Club Premium Membership  big benefits and savings



Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 510
Location: United Kingdom
Concentration: International Business, Strategy
GPA: 2.9
WE: Information Technology (Consulting)

Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
17 Mar 2012, 03:25
Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 4 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt? A. 12 B. 16 C. 20 D. 24 E. 28 Hi  can someone please explain the step by step approach to solve this question? Its in the GMATCub Test m03. Unless, my approach is wrong this is how I solved this: Lionel Speed = 4mph Walt speed = 6 mph Let T be the time taken by Lionel, then T2 will be the time taken by Walt 4T + 6(T2) = 48 [ Rate = Distance/Time and therefore Distance = Time * Rate]. I solved this to get T=6 Lionel's speed = 4 Distance Lionel covered = 4*6 = 24
_________________
Best Regards, E.
MGMAT 1 > 530 MGMAT 2> 640 MGMAT 3 > 610 GMAT ==> 730



Math Expert
Joined: 02 Sep 2009
Posts: 47977

Re: Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
17 Mar 2012, 03:41
enigma123 wrote: Lionel left his house and walked towards Walt's house, 48 miles away. Two hours later, Walt left his house and ran towards Lionel's house. If Lionel's speed was 4 miles per hour and Walt's 6 miles per hour, how many miles had Lionel walked when he met Walt?
A. 12 B. 16 C. 20 D. 24 E. 28
Hi  can someone please explain the step by step approach to solve this question? Its in the GMATCub Test m03. In the first 2 hours Lionel at the rate of 4 miles per hour covered distance=rate*time=4*2=8 miles. So, the distance between him and Walt was 488=40 miles when Walt left his house. Now, their combined rate to cover this distance was 4+6=10 miles per hour, hence they will meet (they will cover that distance) in time=distance/rate=40/10=4 hours. Total time that Lionel was walking is 2+4=6 hours, which means that he covered in that time interval distance=rate*time=4*6=24 miles. Answer: D. P.S. Your solution is correct. Hope it's clear.
_________________
New to the Math Forum? Please read this: Ultimate GMAT Quantitative Megathread  All You Need for Quant  PLEASE READ AND FOLLOW: 12 Rules for Posting!!! Resources: GMAT Math Book  Triangles  Polygons  Coordinate Geometry  Factorials  Circles  Number Theory  Remainders; 8. Overlapping Sets  PDF of Math Book; 10. Remainders  GMAT Prep Software Analysis  SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS)  Tricky questions from previous years.
Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics



Manager
Status: And the Prep starts again...
Joined: 03 Aug 2010
Posts: 118

Re: Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
15 Apr 2012, 19:36
First step  same as Bunuel suggested In the first 2 hours Lionel at the rate of 4 miles per hour covered distance=rate*time=4*2=8 miles. So, the distance between him and Walt was 488=40 miles when Walt left his house. Then apply the formula Time to meet = Distance between L and W/(Rate of L + Rate of B) Time to meet = 40/(4+6) Time to meet = 40/10 Time to meet = 4 hrs Lionel will travel 16 miles in 4 hrs and he has initially traveled is 8miles. So 16+8=24 miles D
_________________
My First Blog on my GMAT Journey
Arise, Awake and Stop not till the goal is reached



Intern
Joined: 15 May 2012
Posts: 24

Re: Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
24 May 2012, 05:33
I will try to answer this que with relative velocity. Lio  4mph walt  6mph Distance  48 Miles Lio walked for 2 hrs = 4*2 = 8 Miles already covered, when walt started. Distance left b/w Lio and Walt = 488 = 40 Miles Relative velocity of Lio and Walt = (6+4)* = 10 Mph * Two objects approaching each other, there relative velocity = sum of thr speeds. Time taken to meet = 40/10 = 4hrs Thus, Lio walks for = 4mph*4hrs + 8 Miles (Walked Already) = 24 Miles Done!



Manager
Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 219
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)

Re: Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
12 Aug 2012, 20:24
The First 2 hours Lionel covers 8 miles (4 X 2).................... (1) The remaining distance= 488= 40 miles. Since they are moving in opposite directions the distance between them increases at the rate of 10 miles/hr (6+4) Now both of them meet at 40/10= 4 hours Now in 4 hours Lionel travels 4X4= 16 miles.............. (2) therefore, Total distance Lionel would have travelled (1)+(2)=16+8= 24 miles. Kudos is always an energy booster
_________________
I've failed over and over and over again in my life and that is why I succeedMichael Jordan Kudos drives a person to better himself every single time. So Pls give it generously Wont give up till i hit a 700+



Intern
Joined: 06 Sep 2012
Posts: 39
Concentration: Social Entrepreneurship

Re: Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
25 Jan 2013, 16:15
why is Walt's time (t2) and not (t+2) since he left 2 hours later?
_________________
Life begins at the edge of your comfort zone.
Appreciate the +1!



Senior Manager
Joined: 27 Jun 2012
Posts: 390
Concentration: Strategy, Finance

Re: Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
25 Jan 2013, 17:02
JJ2014 wrote: why is Walt's time (t2) and not (t+2) since he left 2 hours later? Thats because Walk walked for 2 hours less than 't' number of hours that Lionel walked.
_________________
Thanks, Prashant Ponde
Tough 700+ Level RCs: Passage1  Passage2  Passage3  Passage4  Passage5  Passage6  Passage7 Reading Comprehension notes: Click here VOTE GMAT Practice Tests: Vote Here PowerScore CR Bible  Official Guide 13 Questions Set Mapped: Click here Looking to finance your tuition: Click here



Intern
Status: Going the extra mile
Joined: 08 Feb 2014
Posts: 18
Location: Netherlands
Concentration: Strategy, International Business
GMAT 1: 470 Q37 V18 GMAT 2: 570 Q36 V32 GMAT 3: 560 Q37 V30 GMAT 4: 610 Q41 V34

Re: Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
16 Apr 2014, 03:38
I tried to solve this problem by visualising it a bit more. Rate L = 4m/hour Rate W = 6m/hour I made a small table ( which is possible, since they are working with easy numbers here). In the first column the hours, second counting (second column) is the new counting of hours for W.) Since the third hour of L can be considered as the first hour walking for W. 1. X 4 2. X 8 3. 1. 12 6 4. 2. 16 12 5. 3. 20 18 6. 4. 24 24 The hours intersect at 24, thus the answer is D.
_________________
Structural persistence is the key to succes . Party hard, study harder.
Still bashing, will continue to do so , although it's important to chill aswell ; ) STUDY+CHILL=VICTORY



Intern
Joined: 01 Aug 2018
Posts: 1

Re: Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
03 Aug 2018, 04:41
Is this a 600 Level question ???



Math Expert
Joined: 02 Sep 2009
Posts: 47977

Re: Lionel left his house and walked towards Walt's house, 48
[#permalink]
Show Tags
03 Aug 2018, 04:49




Re: Lionel left his house and walked towards Walt's house, 48 &nbs
[#permalink]
03 Aug 2018, 04:49






