Rates : GMAT Problem Solving (PS)

Rates

Oldest

Best Reply

Author

Message

TAGS:

Manager

Joined: 14 Dec 2010

Posts: 192

Followers: 1

Kudos [?]: 4 [0], given: 4

Rates [#permalink]

06 May 2011, 10:11

00:00

Question Stats:

88% (02:25) correct

11% (01:49) wrong

based on 0 sessions

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 rd 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

[Reveal] Spoiler: OA

Director

Status: Admitted

Affiliations: Chicago Booth

Joined: 03 Feb 2011

Posts: 947

Followers: 10

Kudos [?]: 143 [0], given: 123

Re: Rates [#permalink]

06 May 2011, 10:26

P + K + M = 162

P = 2K, P = 1/3M

Hence K = 0.5P and M = 3P

P + 0.5 P + 3P = 162
or 4.5 P = 162

P = 18 * 2 = 36
K = 18
M = 108
M - K = 108 - 18 = 90

naveenhv wrote:

Status: There is always something new !!

Affiliations: PMI,QAI Global,eXampleCG

Joined: 08 May 2009

Posts: 1400

Followers: 8

Kudos [?]: 84 [0], given: 10

Re: Rates [#permalink]

06 May 2011, 12:11

p,k and m are in the ratio 2:1 : 3

thus 6 x = 162
x = 27

mark hours = 27 *3 and kate hours = 27

thus difference = 27 *2 = 72
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Director

Status: Admitted

Affiliations: Chicago Booth

Joined: 03 Feb 2011

Posts: 947

Followers: 10

Kudos [?]: 143 [0], given: 123

Re: Rates [#permalink]

06 May 2011, 12:18

The ratio is P : K : M = 2:1:6 and not 2:1:3
Hence 9y = 162
y = 18 (common factor)

Hence M-K = (6 - 1)y = 5y = 5 * 18 = 90

amit2k9 wrote:

p,k and m are in the ratio 2:1 : 3

thus 6 x = 162
x = 27

mark hours = 27 *3 and kate hours = 27

thus difference = 27 *2 = 72

Director

Joined: 01 Feb 2011

Posts: 791

Followers: 11

Kudos [?]: 63 [0], given: 42

Re: Rates [#permalink]

06 May 2011, 13:32

p + k + m =162

p = 2k
p = m/3
Solving we have m -k = 18*5 = 90

Answer is D.

Posted from my mobile device

SVP

Joined: 16 Nov 2010

Posts: 1721

Location: United States (IN)

Concentration: Strategy, Technology

Followers: 26

Kudos [?]: 228 [0], given: 34

Re: Rates [#permalink]

11 May 2011, 06:29

p + p/2 + 3p = 162

3p/2 + 3p = 162

p/2 + p = 54

p = 18 * 2 = 36

So M - K = 3p - p/2 = 108 - 18 = 90

Answer - D
_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

Find out what's new at GMAT Club - latest features and updates

Re: Rates [#permalink] 11 May 2011, 06:29

		Similar topics	Author	Replies	Last post
Similar Topics:		rate question	mike8c	4	26 Nov 2004, 21:03
	4	Rate of vs. Rate for	agnok	2	30 May 2010, 03:36
		rate	siddhans	3	29 Sep 2011, 01:20
		Rate	BDSunDevil	1	15 Oct 2011, 12:47
		Ratings	Bunuel	0	25 Feb 2013, 10:35

Rates

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

Rates

Rates

Main navigation

GMAT Resources

Partners

MBA Resources