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Rates

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Manager
Joined: 14 Dec 2010
Posts: 220
Location: India
Concentration: Technology, Entrepreneurship
GMAT 1: 680 Q44 V39
Followers: 1

Kudos [?]: 17 [0], given: 5

Rates [#permalink]  06 May 2011, 09:11
00:00

Difficulty:

5% (low)

Question Stats:

91% (02:20) correct 8% (01:49) wrong based on 12 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: Matriculating
Affiliations: Chicago Booth Class of 2015
Joined: 03 Feb 2011
Posts: 934
Followers: 11

Kudos [?]: 163 [0], given: 123

Re: Rates [#permalink]  06 May 2011, 09:26
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:
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
VP
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1368
Followers: 9

Kudos [?]: 115 [0], given: 10

Re: Rates [#permalink]  06 May 2011, 11:11
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
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Director
Status: Matriculating
Affiliations: Chicago Booth Class of 2015
Joined: 03 Feb 2011
Posts: 934
Followers: 11

Kudos [?]: 163 [0], given: 123

Re: Rates [#permalink]  06 May 2011, 11:18
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: 774
Followers: 12

Kudos [?]: 75 [0], given: 42

Re: Rates [#permalink]  06 May 2011, 12:32
p + k + m =162

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

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SVP
Joined: 16 Nov 2010
Posts: 1698
Location: United States (IN)
Concentration: Strategy, Technology
Followers: 28

Kudos [?]: 261 [0], given: 36

Re: Rates [#permalink]  11 May 2011, 05:29
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

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

Re: Rates   [#permalink] 11 May 2011, 05:29
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