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After an ice began to melt out from the freezer, in the first hour los
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09 May 2016, 19:50
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79% (01:49) correct 21% (02:40) wrong based on 49 sessions
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After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.5 cubic inches, what is the original volume of the cubic ice, in cubic inches? A. 2.5 B. 3.0 C. 4.0 D. 6.5 E. 8.0 * A solution will be posted in two days.
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Re: After an ice began to melt out from the freezer, in the first hour los
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09 May 2016, 20:30
Let initial volume of ice be = x Ice Remaining after 1 hour = x  0.75x = 0.25x Ice Remaining after 2 hour = (1/4)x  (3/4 * 1/4 * x) = (1/16)x
(1/16)x = 0.5 x = 8
Alternate solution: Try to backsolve. Initial volume = 8 After one hour > (1/4)8 = 2 After two hours > (1/4)2 = 0.5
Answer: E



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Re: After an ice began to melt out from the freezer, in the first hour los
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09 May 2016, 20:32
Let total volume be x initially.
At the end of 1st hr Lost: \(\frac{3}{4} x\) Remaining: \(x  \frac{3}{4} x = \frac{1}{4} x\)
At the end of 2nd hr Lost: \(\frac{3}{4} * \frac{x}{4} = \frac{3x}{16}\) Remaining: \(\frac{x}{4}  \frac{3x}{16} = \frac{x}{16}\)
Now, we are givn that remaining after 2 hours is 0.5 cubic inches Therefore, \(\frac{x}{16} = 0.5\) => \(x = 8\) cubic inches
Option E



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Re: After an ice began to melt out from the freezer, in the first hour los
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09 May 2016, 21:05
MathRevolution wrote: After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.5 cubic inches, what is the original volume of the cubic ice, in cubic inches?
A. 2.5 B. 3.0 C. 4.0 D. 6.5 E. 8.0
* A solution will be posted in two days. Hi, another way avoiding a bit of calculations is visualizationafter 2 hrs, it is 0.5 = 1/4 of X, where X is at the beginning of 2nd hour, So at the beginning of 2nd hour = 0.5 *4=2.. And similarily in the beginning of 1st hour = 2*4 = 8
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Re: After an ice began to melt out from the freezer, in the first hour los
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11 May 2016, 19:05
If we consider the original volume of an ice to be x, then we get x(13/4)(13/4)=0.5. From this, we get x(1/4)(1/4)=0.5. So, x=8. The correct answer is E.
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MathRevolution: Finish GMAT Quant Section with 10 minutes to spareThe oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $79 for 1 month Online Course""Free Resources30 day online access & Diagnostic Test""Unlimited Access to over 120 free video lessons  try it yourself"




Re: After an ice began to melt out from the freezer, in the first hour los
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11 May 2016, 19:05






