GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 24 Apr 2019, 21:14

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

Cecile commutes from her home to her office by either driving her car

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54496
Cecile commutes from her home to her office by either driving her car  [#permalink]

Show Tags

New post 15 Jun 2017, 02:44
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (02:22) correct 16% (02:48) wrong based on 147 sessions

HideShow timer Statistics

Cecile commutes from her home to her office by either driving her car or riding her bike. If she drives, she covers one mile in 4 minutes and and if she rides her bike she cover one mile in 9 minutes. If it takes her 30 minutes longer to ride her bike from her home to her office than to drive, how far is the distance from her home to her office?

A. 5 miles
B. 6 miles
C. 8 miles
D. 9 miles
E. 12 miles

_________________
Director
Director
User avatar
V
Joined: 04 Dec 2015
Posts: 750
Location: India
Concentration: Technology, Strategy
WE: Information Technology (Consulting)
GMAT ToolKit User
Cecile commutes from her home to her office by either driving her car  [#permalink]

Show Tags

New post 15 Jun 2017, 02:55
1
1
Bunuel wrote:
Cecile commutes from her home to her office by either driving her car or riding her bike. If she drives, she covers one mile in 4 minutes and and if she rides her bike she cover one mile in 9 minutes. If it takes her 30 minutes longer to ride her bike from her home to her office than to drive, how far is the distance from her home to her office?

A. 5 miles
B. 6 miles
C. 8 miles
D. 9 miles
E. 12 miles


Let Distance be D.

Speed of car = \(\frac{1}{4}\) miles/min

Let Time taken by car = t

Speed of bike = \(\frac{1}{9}\) miles/min

Time taken by bike = 30 mins longer than time taken by car = t + 30

\(D = \frac{1}{4} * t\) -------- (i)

\(D = \frac{1}{9}* (t + 30)\) ------------- (ii)

Equating (i) and (ii), we get;

\(\frac{1}{4} * t = \frac{1}{9} * (t + 30)\)

\(\frac{t}{4} = \frac{(t + 30)}{9}\)

\(9t = 4t + 120\)

\(5t = 120\)

\(t = 24\)

Substituting value of t in (i), we get;

\(D = \frac{1}{4} * 24 = 6 miles\).

Answer (B)
Director
Director
User avatar
D
Affiliations: IIT Dhanbad
Joined: 13 Mar 2017
Posts: 724
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: Cecile commutes from her home to her office by either driving her car  [#permalink]

Show Tags

New post 15 Jun 2017, 04:11
2
Bunuel wrote:
Cecile commutes from her home to her office by either driving her car or riding her bike. If she drives, she covers one mile in 4 minutes and and if she rides her bike she cover one mile in 9 minutes. If it takes her 30 minutes longer to ride her bike from her home to her office than to drive, how far is the distance from her home to her office?

A. 5 miles
B. 6 miles
C. 8 miles
D. 9 miles
E. 12 miles


Speed of car = 1/4 mile/min
Speed of bike = 1/9 mile/min

Let the distance from her home to her office = x
So x/(1/9) - x/(1/4) = 30
5x = 30 -> x = 6 miles.

Answer B

_________________
CAT 2017 (98.95) & 2018 (98.91) : 99th percentiler
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu


Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)



What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1179
Cecile commutes from her home to her office by either driving her car  [#permalink]

Show Tags

New post 15 Jun 2017, 13:05
Bunuel wrote:
Cecile commutes from her home to her office by either driving her car or riding her bike. If she drives, she covers one mile in 4 minutes and and if she rides her bike she cover one mile in 9 minutes. If it takes her 30 minutes longer to ride her bike from her home to her office than to drive, how far is the distance from her home to her office?

A. 5 miles
B. 6 miles
C. 8 miles
D. 9 miles
E. 12 miles


let t=minutes to drive
4/9=t/(t+30)
t=24 minutes
24 minutes/4 minutes per mile=6 miles
B
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5853
Location: United States (CA)
Re: Cecile commutes from her home to her office by either driving her car  [#permalink]

Show Tags

New post 17 Jun 2017, 05:24
Bunuel wrote:
Cecile commutes from her home to her office by either driving her car or riding her bike. If she drives, she covers one mile in 4 minutes and and if she rides her bike she cover one mile in 9 minutes. If it takes her 30 minutes longer to ride her bike from her home to her office than to drive, how far is the distance from her home to her office?

A. 5 miles
B. 6 miles
C. 8 miles
D. 9 miles
E. 12 miles


We can let the distance to the office = d.

We are given that Cecile’s driving rate is 1/4 mile/minute and her biking rate is 1/9 mile/minute.

Thus, her driving time is d/(1/4) = 4d and her biking time is d/(1/9) = 9d.

Since it takes her 30 more minutes to bike than to drive, we have:

9d = 4d + 30

5d = 30

d = 30/5 = 6

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@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

Director
Director
avatar
S
Joined: 12 Nov 2016
Posts: 725
Location: United States
Schools: Yale '18
GMAT 1: 650 Q43 V37
GRE 1: Q157 V158
GPA: 2.66
Re: Cecile commutes from her home to her office by either driving her car  [#permalink]

Show Tags

New post 13 Aug 2017, 13:31
Bunuel wrote:
Cecile commutes from her home to her office by either driving her car or riding her bike. If she drives, she covers one mile in 4 minutes and and if she rides her bike she cover one mile in 9 minutes. If it takes her 30 minutes longer to ride her bike from her home to her office than to drive, how far is the distance from her home to her office?

A. 5 miles
B. 6 miles
C. 8 miles
D. 9 miles
E. 12 miles


The only thing with this one is that you have to use fractions, but nonetheless it is very much like an overtake question- in overtake questions the distance traveled is the same so

D=RT or D=ST
Distance between home and office = 1 minute/ 4 miles (x)

1/4x = 1/9x (x+30) set them equal

1/4x = 1/9x +30/9

120/36=5/36

120/5= 24

1/4(24) =6

B
Manager
Manager
avatar
B
Joined: 07 Jun 2017
Posts: 100
Re: Cecile commutes from her home to her office by either driving her car  [#permalink]

Show Tags

New post 13 Aug 2017, 20:28
1
every 1 mile she rides on bike, will take her extra 5 minutes (9min-4min).
so if she take 30 minutes longer, it is 30/5= 6 miles
GMAT Club Bot
Re: Cecile commutes from her home to her office by either driving her car   [#permalink] 13 Aug 2017, 20:28
Display posts from previous: Sort by

Cecile commutes from her home to her office by either driving her car

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.