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Nornagest comments on Open thread, Sept. 29 - Oct.5, 2014 - Less Wrong Discussion
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Hmm.
ROT13: V unir ab vqrn ubj zhpu jngre'f va gur nirentr qebcyrg, ohg gurl ybbx nobhg unys n pz npebff, fb yrg'f onyycnex vg nf n gragu bs n pp. Gubhfnaq PPf gb n yvgre, fb gra gubhfnaq qebcyrgf va bar. 86400 frpbaqf va n qnl, fb n snhprg qevccvat ng n qebc n frpbaq (cerggl snfg) vf jnfgvat nebhaq 10 yvgref n qnl, naq bar qevccvat ng n qebc rirel 10 frpbaqf (zber glcvpny sebz jung V erzrzore) vf jnfgvat nobhg n yvgre n qnl. Cerggl ybj rvgure jnl, pbzcnerq gb jung lbh'er fcraqvat ba fubjref, qvfujnfuvat, rgp.
That about what you came up with?
Yes. And this thing says that you're within a factor of 2.1 of the right answer.
Now, does anyone know how much water is needed to manufacture a replacement faucet? (this is surprisingly difficult to estimate)
Usually the proper fix for a leaking faucet is substantially more conservative than replacing the whole assembly.
For comparison, producing a pound of meat uses 2,400 gallons of water.