Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 19 Jul 2019, 03:30

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.

Close

Request Expert Reply

Confirm Cancel

A man travels from City A to City B at 60 miles/hr,

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
User avatar
P
Joined: 10 Apr 2018
Posts: 270
Location: United States (NC)
A man travels from City A to City B at 60 miles/hr,  [#permalink]

Show Tags

New post 10 Aug 2018, 10:56
2
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

85% (01:44) correct 15% (01:58) wrong based on 54 sessions

HideShow timer Statistics


A man travels from City A to City B at 60 miles/hr, and returns to city A at 40 miles/hr. If the entire journey took 10 hrs in all then what is the distance between City A and City B?
(A)120
(B)240
(C)272
(D)280
(E)288

_________________
Probus

~You Just Can't beat the person who never gives up~ Babe Ruth
Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 3079
A man travels from City A to City B at 60 miles/hr,  [#permalink]

Show Tags

New post 10 Aug 2018, 17:00
Probus wrote:
A man travels from City A to City B at 60 miles/hr, and returns to city A at 40 miles/hr. If the entire journey took 10 hrs in all then what is the distance between City A and City B?
(A)120
(B)240
(C)272
(D)280
(E)288

The trap answer is A. Total time represents time for the round trip = 2D. No need to divide by 2.

At one rate, HALF the round-trip distance took = \(\frac{D}{60}\) hours

And at another rate, the other HALF of the trip took \(\frac{D}{40}\) hours.
Total distance in the sum of hours = 2D

Time from A to B: \(\frac{D}{r}=\frac{D}{60}\)

Time from B to A \(=\frac{D}{40}\)

Those two times sum to 10 hours

\((\frac{D}{60}+\frac{D}{40})=10\)
Multiply all terms by LCM = 120
\(2D+3D=1,200\)
\(5D=1,200\)
\(D=240\)

Answer B
_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.


Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1028
WE: Supply Chain Management (Energy and Utilities)
Re: A man travels from City A to City B at 60 miles/hr,  [#permalink]

Show Tags

New post 10 Aug 2018, 22:39
1
Probus wrote:
A man travels from City A to City B at 60 miles/hr, and returns to city A at 40 miles/hr. If the entire journey took 10 hrs in all then what is the distance between City A and City B?
(A)120
(B)240
(C)272
(D)280
(E)288


Total distance covered=AB+BA=2*AB
Total time taken=10 hours
Average speed=Total distance/Total time
So, Total distance=2*AB=Average speed*10

Question stem:- AB=?

Average speed
=\(\frac{2v_{1}*v_{2}}{v_{1}+v_{2}}\)
Note:- Applicable when the distance covered at two speeds is same (here distance AB covered at 60 mph and distance BA covered at 40 mph, AB=BA)

So, average speed=\(\frac{2*60*40}{60+40}\)=48 mph

We have, 2*AB=48*10
Or, AB=240 miles

Ans. (B)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
Senior Manager
Senior Manager
User avatar
P
Joined: 07 Jul 2012
Posts: 372
Location: India
Concentration: Finance, Accounting
GPA: 3.5
Premium Member
Re: A man travels from City A to City B at 60 miles/hr,  [#permalink]

Show Tags

New post 11 Aug 2018, 00:51
Let D= distance between City A and City B

\(\frac{D}{60}\)+\(\frac{D}{40}\)= 8

Plug in Value of option B. It satisfies the above equation.

Answer: B.
_________________
Kindly hit kudos if my post helps!
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: A man travels from City A to City B at 60 miles/hr,  [#permalink]

Show Tags

New post 11 Aug 2018, 00:54
Probus wrote:
A man travels from City A to City B at 60 miles/hr, and returns to city A at 40 miles/hr. If the entire journey took 10 hrs in all then what is the distance between City A and City B?
(A)120
(B)240
(C)272
(D)280
(E)288

Distance is given in the options, IMHO the best approach will be using the options twice with speeds 60 and 40, adding up to 10..

Answer must be (B)

\(\frac{240}{60} + \frac{240}{40} = 4 + 6 => 10\)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2823
Re: A man travels from City A to City B at 60 miles/hr,  [#permalink]

Show Tags

New post 18 Aug 2018, 20:09
Probus wrote:
A man travels from City A to City B at 60 miles/hr, and returns to city A at 40 miles/hr. If the entire journey took 10 hrs in all then what is the distance between City A and City B?
(A)120
(B)240
(C)272
(D)280
(E)288


Let d = the distance between City A to City B. So we have the following equation for the time:

Time from A to B + Time from B back to A = 10 hours

d/60 + d/40 = 10

Multiplying both sides of the equation by 240, we have:

4d + 6d = 2400

10d = 2400

d = 240

Answer: B
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star 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 Bot
Re: A man travels from City A to City B at 60 miles/hr,   [#permalink] 18 Aug 2018, 20:09
Display posts from previous: Sort by

A man travels from City A to City B at 60 miles/hr,

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne