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

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For each landscaping job that takes more than 4 hours, a [#permalink]

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New post 08 Oct 2009, 17:15
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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.
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Re: For each landscaping job that takes more than 4 hours, a [#permalink]

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New post 08 Oct 2009, 18:25
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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.
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Re: For each landscaping job that takes more than 4 hours, a [#permalink]

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New post 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.
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Re: For each landscaping job that takes more than 4 hours, a [#permalink]

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New post 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
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Re: For each landscaping job that takes more than 4 hours, a [#permalink]

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New post 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)?
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For each landscaping job that takes more than 4 hours, a [#permalink]

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New post 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.

Answer: B.


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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For each landscaping job that takes more than 4 hours, a [#permalink]

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New post 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

Please help

thanks in advance
have a nice day
>_~
57>5*(6+H)
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Re: For each landscaping job that takes more than 4 hours, a [#permalink]

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New post 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

Please help

thanks in advance
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
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Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: For each landscaping job that takes more than 4 hours, a   [#permalink] 03 Oct 2017, 05:26
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