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GMAT Prep - cost of square slab

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GMAT Prep - cost of square slab

by Nailya » Sun Apr 12, 2009 3:08 pm
The cost of square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick?

1) the cost of square slab that is 2 metes long and 0.2 meter tick is 160$ more than the cost of a square slab that is 2 meters long and 0.1 meter thick

2) the cost of square slab that is 3 metes long and 0.1 meter tick is 200$ more than the cost of a square slab that is 2 meters long and 0.1 meter thick

OA is D
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by scoobydooby » Sun Apr 12, 2009 10:50 pm
cost of slab=(l^2)*t*k where k is the constant of proportionality.
we need this k to be able to arrive at the cost.

1) 4*0.2*k=4*0.1*k+160
=>4*0.1*k=160

we can solve for k, the proportionality constant and compute the cost of the slab in the stimulus.
sufficient


2) 9*0.1*k-4*0.1*k=200
=>0.1k(9-4)=200
=>k=200/(5*0.1)
we can compute the cost of the given slab in the stimulus.
sufficient

hence D
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by Nailya » Sun Apr 12, 2009 11:00 pm
Thank you!
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