It is currently 23 Feb 2018, 23:42

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Pat, Kate, and Mark charged a total of 162 hours to a

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

Hide Tags

Manager
Manager
User avatar
S
Joined: 09 Mar 2016
Posts: 244
Re: Pat, Kate, and Mark charged a total of 162 hours to a [#permalink]

Show Tags

New post 20 Jan 2018, 10:35
GMATPrepNow wrote:
likar wrote:
Pat, Kate, and Mark charged a total of 162 hours to a certain project. If Pat charged twice as much time to the project as Kate and 1/3 as much time as Mark, how many more hours did Mark charge to the project than Kate?

A. 18
B. 36
C. 72
D. 90
E. 108


We can see that Kate charged the fewest hours, so...
Let x =the number of hours Kate charged

Pat charged twice as much time to the project as Kate
So, 2x = the number of hours Pat charged

Pat charged 1/3 as much times as Mark
In other words, Mark charged THREE TIMES as much time as Pat
So, 3(2x ) = the number of hours Mark charged
In other words, 6x = the number of hours Mark charged

Pat, Kate and Mark charged a total of 162 hours to a certain project.
We can write: x + 2x + 6x = 162
Simplify: 9x = 162
Solve: x = 18
So, Kate charged 18 hours
When we plug x = 18 into 6x, we see that Mark charged 108 hours

How many more hours did Mark charge to the project than Kate?
Answer = 108 - 18
= 90
= D

RELATED VIDEO


Helllo GMATPrepNow :-)

can you please explain the wording of 1/3 as much time as Mark, why are you multiplying 2 by 3 ? there is a fraction 1/3 :? if it said "Pat charged three times as much as Mark" then i would multiply...:?

thank you :)
Expert Post
Top Contributor
1 KUDOS received
SVP
SVP
User avatar
P
Joined: 11 Sep 2015
Posts: 2065
Location: Canada
Re: Pat, Kate, and Mark charged a total of 162 hours to a [#permalink]

Show Tags

New post 20 Jan 2018, 11:07
1
This post received
KUDOS
Expert's post
Top Contributor
1
This post was
BOOKMARKED
dave13 wrote:
Helllo GMATPrepNow :-)

can you please explain the wording of 1/3 as much time as Mark, why are you multiplying 2 by 3 ? there is a fraction 1/3 :? if it said "Pat charged three times as much as Mark" then i would multiply...:?

thank you :)


For most word problems, the given situation can be expressed in 2 ways.
For example, saying that "Joe is 4 years older than Ann" is exactly the SAME as saying "Ann is 4 years younger than Joe"

Likewise, saying that "Peter is HALF as old as Sue" is exactly the SAME as saying "Sue is TWICE as old as Peter"
And saying that "Peter is 1/3 as old as Sue" is exactly the SAME as saying "Sue is THREE TIMES as old as Peter"

Does that help?

Cheers,
Brent
_________________

Brent Hanneson – Founder of gmatprepnow.com

Image

Manager
Manager
User avatar
S
Joined: 09 Mar 2016
Posts: 244
Re: Pat, Kate, and Mark charged a total of 162 hours to a [#permalink]

Show Tags

New post 20 Jan 2018, 11:16
GMATPrepNow wrote:
dave13 wrote:
Helllo GMATPrepNow :-)

can you please explain the wording of 1/3 as much time as Mark, why are you multiplying 2 by 3 ? there is a fraction 1/3 :? if it said "Pat charged three times as much as Mark" then i would multiply...:?

thank you :)


For most word problems, the given situation can be expressed in 2 ways.
For example, saying that "Joe is 4 years older than Ann" is exactly the SAME as saying "Ann is 4 years younger than Joe"

Likewise, saying that "Peter is HALF as old as Sue" is exactly the SAME as saying "Sue is TWICE as old as Peter"
And saying that "Peter is 1/3 as old as Sue" is exactly the SAME as saying "Sue is THREE TIMES as old as Peter"

Does that help?

Cheers,
Brent



Brent - thank you very much! It is an excellent explanation! :)
Re: Pat, Kate, and Mark charged a total of 162 hours to a   [#permalink] 20 Jan 2018, 11:16

Go to page   Previous    1   2   [ 23 posts ] 

Display posts from previous: Sort by

Pat, Kate, and Mark charged a total of 162 hours to a

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.