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

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Manager
Joined: 02 Sep 2008
Posts: 102
For each landscaping job that takes more than 4 hours, a [#permalink]

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17 Mar 2009, 21:20
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Question Stats:

0% (00:00) correct 100% (02:48) wrong based on 1 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 0.2r dollars for each additional hour or fraction of an hour, where
r > 100. Did a particular landscaping job take more than 10 hours?
(1) The contractor charged a total of \$288 for the job.
(2) The contractor charged a total of 2.4r dollars for the job.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is
sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Director
Joined: 14 Aug 2007
Posts: 695

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17 Mar 2009, 21:44
milind1979 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 take more than 10 hours?
(1) The contractor charged a total of \$288 for the job.
(2) The contractor charged a total of 2.4r dollars for the job.

B

the eqn for charge for a job that takes >4 hrs is

r + 0.2*r*h = Total (h is #of additional hours)

1) r + 0.2*r*h = 288, we have 2 unknowns and 1 eqn. insuff.
2) r + 0.2*r*h = 2.4r
(note that this eqn can be applied because total charge is more than r)
we can solve to find h = 7 , so total 4 + 7 = 11 hrs. suff to answer the Q.
VP
Joined: 28 Dec 2005
Posts: 1482

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18 Mar 2009, 09:15
alpha_plus_gamma wrote:
milind1979 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 take more than 10 hours?
(1) The contractor charged a total of \$288 for the job.
(2) The contractor charged a total of 2.4r dollars for the job.

B

the eqn for charge for a job that takes >4 hrs is

r + 0.2*r*h = Total (h is #of additional hours)

1) r + 0.2*r*h = 288, we have 2 unknowns and 1 eqn. insuff.
2) r + 0.2*r*h = 2.4r
(note that this eqn can be applied because total charge is more than r)
we can solve to find h = 7 , so total 4 + 7 = 11 hrs. suff to answer the Q.

Agree with this approach. I also ended up with B

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Re: DS   [#permalink] 18 Mar 2009, 09:15
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