document.write( "Question 1054900: two water taps together can fill a tank in 9 3/8 hours.the tap of larger diamer taker 10 hours less than the smaller one to fill the tank separately find the time in which each tap can separately fill the tank. \n" ); document.write( "
Algebra.Com's Answer #670118 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Rate of filling with both taps open:
\n" ); document.write( "[ 1 tank filled ] / [ 9.375 hrs ]
\n" ); document.write( "----------------------------------
\n" ); document.write( "Let \"+t+\" = time in hrs for smaller tap to fill tank
\n" ); document.write( "\"+t+-+10+\" = time in hrs for larger tap to fill tank
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "Add the rates of filling of the 2 taps to get
\n" ); document.write( "the rate of filling with both taps open
\n" ); document.write( "----------------------------------------------
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%28+t-10+%29+=+1%2F9.375+\"
\n" ); document.write( "Multiply both sides by \"+t%2A%28+t-10+%29%2A9.375+\"
\n" ); document.write( "\"+9.375%2A%28+t-10+%29+%2B+9.375t+=+t%2A%28+t-10+%29+\"
\n" ); document.write( "\"+9.375t+-+93.75+%2B+9.375t+=+t%5E2+-+10t+\"
\n" ); document.write( "\"+t%5E2+-+10t+-+18.75t+=+-93.75+\"
\n" ); document.write( "\"+t%5E2+-+28.75t+%2B+93.75+=+0+\"
\n" ); document.write( "Use quadratic formula to solve for \"+t+\"
\n" ); document.write( "\"+t+=+%28-b+%2B-+sqrt%28+b%5E2+-+4%2Aa%2Ac+%29%29+%2F+%282%2Aa%29+\"
\n" ); document.write( "\"+a+=+1+\"
\n" ); document.write( "\"+b+=+-28.75+\"
\n" ); document.write( "\"+c+=+93.75+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+t+=+%28-%28-28.75%29+%2B-+sqrt%28+%28-28.75%29%5E2+-+4%2A1%2A93.75+%29%29+%2F+%282%2A1%29+\"
\n" ); document.write( "\"+t+=+%28+28.75+%2B-+sqrt%28++826.5625+-+4%2A1%2A93.75+%29%29+%2F+2+\"
\n" ); document.write( "\"+t+=+%28+28.75+%2B+sqrt%28+826.5625+-+375+%29%29+%2F+2+\"
\n" ); document.write( "\"+t+=+%28+28.75+%2B+sqrt%28+451.5625+%29%29%2F2+\"
\n" ); document.write( "\"+t+=+%28+28.75+%2B+21.25+%29+%2F+2+\"
\n" ); document.write( "\"+t+=%28+50%2F2+%29+\"
\n" ); document.write( "\"+t+=+25+\" hrs
\n" ); document.write( "and
\n" ); document.write( "\"+t+-+10+=+15+\"
\n" ); document.write( "-----------------
\n" ); document.write( "The smaller tap takes 25 hrs by itself
\n" ); document.write( "The larger tap takes 15 hrs by itself
\n" ); document.write( "----------------------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+1%2Ft+%2B+1%2F%28+t-10+%29+=+1%2F9.375+\"
\n" ); document.write( "\"+1%2F25+%2B+1%2F15+=+1%2F9.375+\"
\n" ); document.write( "\"+.04+%2B+.06667+=+.106667+\"
\n" ); document.write( "\"+.106667+=+.106667+\"
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );