BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Pat, Kate and Mark

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Senior | Next Rank: 100 Posts
Posts: 67
Joined: Mon Aug 16, 2010 4:42 am

Pat, Kate and Mark

by Viper83 » Tue Nov 23, 2010 6:50 am
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 as Mark, how many more hours did mark charge to the project than Kate?

a) 18
b) 36
c) 72
d) 90
e) 108

D
Top
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 332
Joined: Tue Feb 09, 2010 3:50 pm
Thanked: 41 times
Followed by:7 members
GMAT Score:720

by rishab1988 » Tue Nov 23, 2010 7:46 am
Answer is D

Here is why:

Let no. of hours charged by Pat be =x
Then no of hours charged by Kate =x/2 [ Pat charged for twice as many hours as Kate charged].So if Kate =1 Pat =2.
Then no. of hours charged by Mark =3x [pat charged for 1/3 as many hours as Mark charged].So if Mark =3 Pat = 1

Question is Mark-Kate or 3x-x/2= 5x/2 =?
Now, x+x/2+3x =162 [ Pat,Kate,and Mark charged for a cumulative 162 hours]

4x+x/2= 162
9x/2=162
x/2 =18
5x/2= 90

What is the OA?
Top
Legendary Member
Posts: 1337
Joined: Sat Dec 27, 2008 6:29 pm
Thanked: 127 times
Followed by:10 members

by Night reader » Tue Nov 23, 2010 7:47 am
Viper83 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 as Mark, how many more hours did mark charge to the project than Kate?

a) 18
b) 36
c) 72
d) 90
e) 108

D
P=2K=1/3M OR P=2K; K=K; M=6K

M-K=?

2K+K+6K=162
K=18

M=6*18=108

M-K=108-18=90

LOOK UP THE ANSWER CHOICES:)

IT'S D :(
My knowledge frontiers came to evolve the GMATPill's methods - the credited study means to boost the Verbal competence. I really like their videos, especially for RC, CR and SC. You do check their study methods at https://www.gmatpill.com
Top
User avatar
GMAT Instructor
Posts: 15539
Joined: Tue May 25, 2010 12:04 pm
Location: New York, NY
Thanked: 13060 times
Followed by:1906 members
GMAT Score:790

by GMATGuruNY » Tue Nov 23, 2010 8:11 am
Viper83 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 as Mark, how many more hours did mark charge to the project than Kate?

a) 18
b) 36
c) 72
d) 90
e) 108

D
We can plug in values in order to determine the ratio of K: P :M.

If K=1, then P=2 (since Pat charged twice as much), and M=6 (since Pat charged 1/3 as much as Mark).
Thus, K: P :M = 1:2:6. Since 1+2+6=9, Kate charged 1/9 of the total time.
K = 1/9 * 162 = 18.
Following the ratio above, M = 6K = 6*18 = 108.
M-K = 108-18 = 90.

The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Top
Post new topic Post Reply
• Page 1 of 1