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Difficult Problem

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Difficult Problem

by ashg84 » Sat Oct 13, 2012 7:44 pm
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?
a) the contractor charged a total of $288 for the job.
b) The contractor Charged a total of 2.4r dollars for the job.

IMO - D

What do you say guys..

Thanks
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by Anurag@Gurome » Sat Oct 13, 2012 9:14 pm
ashg84 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?
a) the contractor charged a total of $288 for the job.
b) The contractor Charged a total of 2.4r dollars for the job.

IMO - D

What do you say guys..

Thanks
Let us assume that the total no. of hours to complete the job = T

(1) r + 0.2r * (T - 4) = 288
But we do not know that value of r, so we cannot find T; NOT sufficient.

(2) r + 0.2r * (T - 4) = 2.4r
0.2T = 2.2 implies T = 11; SUFFICIENT.

The correct answer is B.
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