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## gmatprep test 2 - ps question 11

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gmatjoe Just gettin' started!
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gmatprep test 2 - ps question 11 Sat Feb 16, 2008 8:33 am
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• Lap #[LAPCOUNT] ([LAPTIME])
Hi there, anybody know how to do this one? Not so sure where my method goes wrong:

Q: Pate, Kate and Mark charged a total of 162hrs in a certain project.
If Pat charged twice as much time in the project as Kate and 1/3 as much time as Mark, how many hrs did Mark charge to the project more than Kate?

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

My attempt is as follows:
1) P+K+M=162, Question is M-K=?
2) P=2*K -> K=(1/2)*P
3) P=(1/3)*M -> M=3*P
4) substitute 2) & 3) in 1) gives unfortunately wrong answer... correct answer is (d)

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mleviko Rising GMAT Star
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Sat Feb 16, 2008 9:40 am
The question gives you two different equations as well as two factors:

Let's say kate charged x hours and Mark y hours.

The first equation tells us that pat + kate + mark charged 162 hours together, and that pat charged twice as much as kate, so the equation is:
2x + x + y = 162

the second equation tells us that Mark charged three times as much as Pat, or:
3 * 2x = y

substitue 6x with y in the first equation to get:
2x + x + 6x = 162
x = 18

so Kate charged 18 hours, Mark charged six times as much, or 108.
108 - 18 = 90 , [D] is the answer.

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gmatjoe Just gettin' started!
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Sat Feb 16, 2008 9:50 am
well done! thanks, i realize how close i was, next time around I should stop confusing myself when translating the problem into equations as the math itself is simple. when pressured, the translation part can be horrible for me.

getso Really wants to Beat The GMAT!
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Wed Dec 23, 2009 12:27 am
Hello guys,

My approach is lets take time taken by Pat=X
Therefore kate=X/2 and Mark=3X

X+X/2+3x=162.

and X=27

So I get the 36 as answer.

I'm not able to understand what is wrong in my approach.

Could anybody help me here.

Thanks,
Shobha

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Wed Dec 23, 2009 12:35 am
getso wrote:
X+X/2+3x=162.

and X=27

So I get the 36 as answer.

x + x/2 + 3x = 162

2*x + x + 2*3x = 2*162

9x = 324

x = 36

So, Mark is charged 3*36 = 108
Kate is charged 36/2 = 18

Mark - Kate = 108 - 18 = 90 (D)

linkinpark Really wants to Beat The GMAT!
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Wed Dec 23, 2009 12:44 am
x + x/2 + 3x = 162

i.e. 4x + x/2 = 162
==> 9x/2 = 162
9x = 324 i.e. x = 36

x = p's time which is twice of K so k = 18 and M = 3x so 3*36=108
and M-K= 108-18 = 90.

HTH

getso Really wants to Beat The GMAT!
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Wed Dec 23, 2009 1:00 am
Ya that was a calculation mistake....

@papagust: Thanks for pointing it out.

Regards,
Shobha

LalaB GMAT Destroyer!
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Thu Mar 15, 2012 10:40 am
p/a=2/1
p/m=1/3

p:a:m
2:1:-
2:-:6

p:a:m
2:1:6

2x+x+6x=162
x=18

(6-1)*18=90

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