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For each landscaping job that takes more than 4 hours, a

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Senior Manager
Joined: 30 Nov 2008
Posts: 479
Schools: Fuqua
For each landscaping job that takes more than 4 hours, a [#permalink]

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08 Oct 2009, 17:15
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5
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Difficulty:

65% (hard)

Question Stats:

60% (01:48) correct 40% (01:21) wrong based on 266 sessions

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For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2*r dollars for each additional hour or fraction of an hour where r > 100, Did a particular landscaping job took more than 10 hours.

(1) The contractor charges a total of $288 for the job. (2) The contractor charges a total of 2.48r dollars for the job. Math Expert Joined: 02 Sep 2009 Posts: 46284 Re: For each landscaping job that takes more than 4 hours, a [#permalink] Show Tags 08 Oct 2009, 18:25 5 9 mrsmarthi wrote: For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2r dollars for each additional hour or fraction of an hour where r > 100, Did a particular landscaping job took more than 10 hours. A) The contractor charges a total of$288 for the job.
B) The contractor charges a total of 2.4r dollars for the job.

Given: $$r>100$$
Question: is $$t>10$$?

(1) $$r+0.2r(t-4)=288$$ --> $$t=\frac{1440-r}{r}$$ --> if $$r=101$$, then $$t>10$$ but if $$r=200$$, then $$t<10$$. Not sufficient.

(2) $$r+0.2r(t-4)=2.4r$$ --> $$t=11$$. Sufficient.

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Manager
Joined: 04 May 2010
Posts: 86
WE 1: 2 yrs - Oilfield Service
Re: For each landscaping job that takes more than 4 hours, a [#permalink]

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07 Jun 2010, 02:52
Say total number of hours the job took = x

(1) $$r + 0.2r*(X-4) = 288$$

The prompt is for a constraint on X. Without knowing the value of r, you cannot determine any possible value for x.
Eg. If r = 288, X = 4
If r = 100, X is more than 13.
--> INSUFF

(2) $$r + 0.2r*(X-4) = 2.4r$$

Cancel out r throughout:

$$1 + 0.2X - 0.8 = 2.4$$

$$0.2X = 2.2$$

$$X = 11$$ Answer to the prompt is YES

--> SUFFICIENT

Pick B.
Joined: 13 Jan 2015
Posts: 111
Location: United Kingdom
Concentration: Other, General Management
Schools: LBS '19 (WL)
GMAT 1: 690 Q48 V36
Re: For each landscaping job that takes more than 4 hours, a [#permalink]

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01 Oct 2016, 16:15
Hello All,

On this question, can we manipulate the question stem to say:

Is the total amount paid = r + 0.2r * 6 ----> r +1.2r ----> 2.2r ( so the question is asking if the money paid was 2.2r)
This was derived from breaking down the 10hrs into portions of 4 and 6hrs respectively

Stmt 1 just gives a figure and does not consider r - hence insufficient

So Stmt 2 gives us a direct correlation between 2.2r and 2.4r - and is sufficient
Manager
Joined: 19 Aug 2016
Posts: 82
Re: For each landscaping job that takes more than 4 hours, a [#permalink]

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08 Sep 2017, 18:52
Bunuel wrote:
mrsmarthi wrote:
For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2r dollars for each additional hour or fraction of an hour where r > 100, Did a particular landscaping job took more than 10 hours.

A) The contractor charges a total of $288 for the job. B) The contractor charges a total of 2.4r dollars for the job. Given: $$r>100$$ Question: is $$t>10$$? (1) $$r+0.2r(t-4)=288$$ --> $$t=\frac{1440-r}{r}$$ --> if $$r=101$$, then $$t>10$$ but if $$r=200$$, then $$t<10$$. Not sufficient. (2) $$r+0.2r(t-4)=2.4r$$ --> $$t=11$$. Sufficient. Answer: B. Could you please explain how you got (t-4)? Math Expert Joined: 02 Sep 2009 Posts: 46284 For each landscaping job that takes more than 4 hours, a [#permalink] Show Tags 08 Sep 2017, 22:35 zanaik89 wrote: Bunuel wrote: mrsmarthi wrote: For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2r dollars for each additional hour or fraction of an hour where r > 100, Did a particular landscaping job took more than 10 hours. A) The contractor charges a total of$288 for the job.
B) The contractor charges a total of 2.4r dollars for the job.

Given: $$r>100$$
Question: is $$t>10$$?

(1) $$r+0.2r(t-4)=288$$ --> $$t=\frac{1440-r}{r}$$ --> if $$r=101$$, then $$t>10$$ but if $$r=200$$, then $$t<10$$. Not sufficient.

(2) $$r+0.2r(t-4)=2.4r$$ --> $$t=11$$. Sufficient.

Could you please explain how you got (t-4)?

We are told that "For each landscaping job that takes more than 4 hours, a certain contractor charges a total of r dollars for the first 4 hours plus 0.2r dollars for each additional hour..."

So, if the job takes 6 hours first 4 hours cost $r and each of the remaining (6 - 4) = 2 hours cost$0.2r.
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Senior Manager
Joined: 17 Sep 2016
Posts: 272
For each landscaping job that takes more than 4 hours, a [#permalink]

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03 Oct 2017, 05:15
1
hi experts,
I am confused about statement #1, here is my approach, please point out my fault

Suppose H represents the total working time
r + 0.2r(H -4 ) = 228
228 = 0.2r(6+H)
0.2r = 228/(6+H)

because r>100, so 0.2r>20,
we can get
228/(6+H) > 20
because 6+H > 0
so 228> 20*(6+H)
57*4 > 4*5*(6+H)
57>6+H
H< 5.4
that must not be greater than 10
so I think statement #1 is sufficient

have a nice day
>_~
57>5*(6+H)
Math Expert
Joined: 02 Sep 2009
Posts: 46284
Re: For each landscaping job that takes more than 4 hours, a [#permalink]

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03 Oct 2017, 05:26
zoezhuyan wrote:
hi experts,
I am confused about statement #1, here is my approach, please point out my fault

Suppose H represents the total working time
r + 0.2r(H -4 ) = 228
228 = 0.2r(6+H)
0.2r = 228/(6+H)

because r>100, so 0.2r>20,
we can get
228/(6+H) > 20
because 6+H > 0
so 228> 20*(6+H)
57*4 > 4*5*(6+H)
57>6+H
H< 5.4
that must not be greater than 10
so I think statement #1 is sufficient

have a nice day
>_~
57>5*(6+H)

The red part is not correct:

r + 0.2r(H - 4) = 228
r + 0.2rH - 0.8r = 228
0.2r + 0.2rH = 228
0.2r(1+H) = 228
_________________
Re: For each landscaping job that takes more than 4 hours, a   [#permalink] 03 Oct 2017, 05:26
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