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The Pork Wagon (‘14 Cop Charger)
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7,725 Posts
Discussion Starter #1
I am hoping some of you big-brained members on here can help me with a math problem, or more specifically check my math and let me know if I'm doing this all wrong.

Problem:
In a transmission that uses 7.4 quarts of fluid, how many 3 quart Drain and Fills will it take to get the overall fluid freshness in the transmission above 90%?


Solution:
According to my math, it will take 4 Drain and Fills (if draining and filling 3 quarts each time) to get above 90% fresh fluid (93% to be exact).

I arrived at that by doing my calculations thusly:

7.4 qts @ 0% (fluid freshness)
-3.0 qts (1st drain)
------------------
4.4 qts @ 0%
+3.0 qts @ 100% (1st fill)
----------------------------- [(4.4 * 0.0)+(3.0 * 1.00) = 3.0]
7.4 qts @ 41% [3.0/7.4 = .41]
-3.0 qts (2nd drain)
------------------
4.4 qts @ 41%
+3.0 qts @ 100% (2nd fill)
----------------------------- [(4.4 * 0.41)+(3.0 * 1.00) = 4.8]
7.4 qts @65% [4.8 / 7.4 = .65]
-3.0 qts (3rd drain)
------------------
4.4 qts @ 65%
+3.0 qts @ 100% (3rd fill)
----------------------------- [(4.4 * 0.65)+(3.0 * 1.00) = 5.86]
7.4 qts @79% [5.86 / 7.4 = .79]
-3.0 qts (4th drain)
------------------
4.4 qts @ 79%
+3.0 qts @ 100% (4th fill)
----------------------------- [(4.4 * 0.79)+(3.0 * 1.00) = 6.48]
7.4 qts @93% [6.48 / 7.4 = .93]


Now math was never my strongest subject, but I could do a fair amount of cipherin' when I had to. Which is why I believe I have this particular calculation figured out, but I am hoping someone better with numbers than myself can double-check it and let me know if it's correct or not.

Nuke
 
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