NEW HERE? LEARN MORE
closeclose
It is currently 19 Apr 2024, 18:20
Register
GMAT Focus Tests
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Maxwell leaves his home and walks toward Brad's house. One hour later,

12 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92760
CAT Tests Forum Quiz Mode
Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  06 Jun 2016, 04:18
1
Kudos
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

69% (01:47) correct 31% (02:05) wrong based on 216 sessions
Hide Show timer Statistics
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell?

(A) 16
(B) 18
(C) 20
(D) 24
(E) 30
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
User avatar
FacelessMan
Manager
Manager
Joined: 19 Dec 2015
Posts: 89
Location: United States
Schools: Duke '19 Kenan-Flagler '19
GMAT 1: 720 Q50 V38
GPA: 3.8
WE:Information Technology (Computer Software)
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  06 Jun 2016, 07:00
After the 1st hour, Maxwell has travelled 4 Km. And Brad just left home. So the distance between them = 54 - 4 = 50.
Relative speed = 4 +6 = 10 Kmph.
Now to cover these 50 Kms, they will take 50/10 = 5 Hrs. So in 5 hrs, Maxwell walks 5*4 = 20 Kms.
So total distance travelled by Maxwell = 4 + 20 = 24. Hence D.
User avatar
fantaisie
Manager
Manager
Joined: 18 May 2016
Posts: 51
Concentration: Finance, International Business
GMAT 1: 720 Q49 V39
GPA: 3.7
WE:Analyst (Investment Banking)
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  06 Jun 2016, 07:49
d = 54 km
rM = 4 km/h
rB = 6 km/h

We know that if two people started walking towards at the same time, the time travelled at the time of meeting each other is the same. In this case, Maxwell leaves 1 hour earlier. Then, if
tM = x, then
tB = x -1

We know that at the time M & B meet, they would have together travelled the total distance:
Total distance = tM * rM + tB * rB = 54
x * 4 + (x-1) * 6 = 54
4x + 6x - 6 = 54
10x = 60
x = 10
User avatar
L
sashiim20
Director
Director
Joined: 04 Dec 2015
Posts: 620
Location: India
Concentration: Technology, Strategy
Schools: ISB '19 IIMB IIMA XLRI HEC Sept19 intake Rotman '21 NUS '21 NTU '20 Trinity MBA '20 Bocconi '21 Smurfit "21
WE:Information Technology (Consulting)
GMAT ToolKit User
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  07 Jun 2016, 01:14
3
Kudos
Total Distance = 54 kms
Maxwell Speed = 4 kms/hr
Maxwell traveled for 1hour before Brad started , therefore Maxwell traveled for 4 kms in 1 hour.

Time taken = Total Distance / Relative Speed
Total Distance after Brad started = 50 kms
Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4 = 10 kms/hr

Time taken = 50 / 10 = 5 hrs
Distance traveled by Maxwell = Maxwell's speed * time taken = 4 * 5 = 20+4 = 24 kms... Answer - D

Please, consider giving kudos if you find my answer helpful in any way :) :good :thumbup:
User avatar
adiagr
Manager
Manager
Joined: 18 Jan 2010
Posts: 210
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  07 Jun 2016, 01:35
Bunuel wrote:
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell?

(A) 16
(B) 18
(C) 20
(D) 24
(E) 30


I understand question as: the diatance travelled by Maxwell when both of them meet.

In the first hour Maxwell walks: (4km/h) * 1 hr = 4 Km

Now the distance between Maxwell and Brad is 54-4 = 50 Km
Both are moving towards each other.

Relative Speed = 6+ 4 = 10 Km/h

They will cross each other at (50/10) hours = 5 hours.

Maxwell walked for these 5 hours = 5 * 4 = 20 Km.

Total distance = 20+ 4 = 24 Km

D is the option.
User avatar
B
AbdurRakib
Senior Manager
Senior Manager
Joined: 11 May 2014
Status:I don't stop when I'm Tired,I stop when I'm done
Posts: 474
Location: Bangladesh
Concentration: Finance, Leadership
Schools: Wharton '20 Yale '20 Tepper '20
GPA: 2.81
WE:Business Development (Real Estate)
GMAT ToolKit User
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  07 Jun 2016, 03:43
Bunuel wrote:
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell?

(A) 16
(B) 18
(C) 20
(D) 24
(E) 30



Brad Started his travel I hour later,so their distance remains after 1 hour =(54-4)=50

they run 50 km with their individual to meet each other.

So,Each answer choice subtracted by 4 ,indicates Maxwell's traveled distance of 50 km and the rest of the distance traveled must be matched with Brad's traveled distance.

Only Answer Choice D matched this criteria. Maxwell's total travel distance =24,Contribution towards travelling distance of Maxwell=24-4=20,Remained 30km (50-20) is Brad'd traveled distance ,since it is only divisible by Brad's speed(6km/h)


Correct answer D
User avatar
Divyadisha
Current Student
Joined: 18 Oct 2014
Posts: 680
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  07 Jun 2016, 08:21
Bunuel wrote:
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell?

(A) 16
(B) 18
(C) 20
(D) 24
(E) 30


I believe that the question should mention- 'what is the distance travelled by Maxwell when they both met'

Maxwell travelled 4 Kms for 1 hr while brad was not moving.

Remaining distance= 50
Relative speed= 4+6= 10

Time travelled to meet each other= 50/10= 5hrs

Maxwell travelled total for 5 hrs or 20 kms + 4 kms = 24 kms

D is the answer
_________________
I welcome critical analysis of my post!! That will help me reach 700+
Signature Read More
User avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1074
Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  07 Aug 2017, 11:10
Bunuel wrote:
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell?

(A) 16
(B) 18
(C) 20
(D) 24
(E) 30


(54-4)/(4+6)=5 hrs
5*4+4=24 miles for M
User avatar
P
mvictor
Board of Directors
Joined: 17 Jul 2014
Posts: 2164
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '20 (WD)
GMAT 1: 650 Q49 V30
GPA: 3.92
WE:General Management (Transportation)
GMAT ToolKit User Reviews Badge
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  07 Aug 2017, 15:23
1
Kudos
I think the question must be re-worded: what distance did Maxwell walk by the time he met with...
avatar
B
SKas07
Intern
Intern
Joined: 27 Oct 2016
Posts: 23
Location: Canada
Concentration: Healthcare, Operations
Schools: Duke '20 (D) Kellogg '20 (WL)
GMAT 1: 710 Q47 V40
GPA: 3.4
WE:Operations (Health Care)
Reviews Badge
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  09 Aug 2017, 14:32
mvictor wrote:
I think the question must be re-worded: what distance did Maxwell walk by the time he met with...


Yeah the question should be reworded. It should specify the point in time for which we are measuring. Maxwell can possibly keep walking for all of the 54 km. The question doesn't specify where to stop so technically he could walk any measure of the distance between 4-54.
User avatar
L
ScottTargetTestPrep
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 18740
Location: United States (CA)
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  10 Aug 2017, 10:33
1
Kudos
Expert Reply
Bunuel wrote:
Maxwell leaves his home and walks toward Brad's house. One hour later, Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 54 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h. What is the distance traveled by Maxwell?

(A) 16
(B) 18
(C) 20
(D) 24
(E) 30


We can let Brad’s time = t, and thus Maxwell’s time = t + 1. Furthermore, since distance = rate x time, Brad’s distance = 6t and Maxwell’s distance = 4(t + 1). Since their total distance is 54 km, we can create the following equation:

Brad’s distance + Maxwell’s distance = 54

6t + 4(t + 1) = 54

6t + 4t + 4 = 54

10t = 50

t = 5

Thus, Maxwell has traveled 4(5 + 1) = 24 km when they meet.

Answer: D
_________________
See why Target Test Prep is the top rated GMAT course on GMAT Club. Read Our Reviews
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32545
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink] New post  03 May 2023, 08:42
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
Signature Read More
GMAT Club Bot
gmatclubot
Re: Maxwell leaves his home and walks toward Brad's house. One hour later, [#permalink]
03 May 2023, 08:42
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
92760 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions