document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212330>Question 212330</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Joan ran from her home to the lake at 8mi/h.She ran back home at 6mi/h. Her total running time was 32 minutes. How much time did it take joan to run from her home to the lake. ok I get the problem 8(t)= 6(  )= 32 but what do i put in the second set and ho do i go on from there? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160665 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=160665\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> HOPE THIS HELPS---ON THESE PROBLEMS YOU EITHER HAVE TO DEAL IN MINUTES OR HOURS---YOU CAN'T MIX. I WILL DEAL IN HOURS:<BR>\n" );
document.write( "Distance(d) equals Rate(r) times Time(t) or d=rt;r=d/t and t=d/r<BR>\n" );
document.write( "Let t1=time to the lake<BR>\n" );
document.write( "Let t2 equal time from the lake<BR>\n" );
document.write( "Now we are told that t1+t2=32/60 =8/15 hr---------------eq1<BR>\n" );
document.write( "distance to the lake =8t1<BR>\n" );
document.write( "distance from the lake =6t2<BR>\n" );
document.write( "We know that distance to lake=distance from lake, so:\r<BR>\n" );
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document.write( "8t1=6t2------------------------------------------eq2<BR>\n" );
document.write( "From eq2, t2=(4/3)t1.  Substitute this for t2 in eq1:<BR>\n" );
document.write( "t1+(4/3)t1=8/15<BR>\n" );
document.write( "(7/3)t1=8/15  multiply each side by 15<BR>\n" );
document.write( "35t1=8<BR>\n" );
document.write( "t1=8/35 hr--------------------------Time for Joan to run from home to the lake\r<BR>\n" );
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document.write( "ANOTHER WAY::<BR>\n" );
document.write( "Let d=the distance to/from home to lake\r<BR>\n" );
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document.write( "Time to run from home to the lake=d/8<BR>\n" );
document.write( "Time to run back from the lake to home=d/6<BR>\n" );
document.write( "And we are told that the above two times add up to 32/60 or 8/15 hr, so:<BR>\n" );
document.write( "d/8 +d/6 = 8/15  multply each term by 120<BR>\n" );
document.write( "15d+ 20d=64 <BR>\n" );
document.write( "35d=64<BR>\n" );
document.write( "d=64/35 mi<BR>\n" );
document.write( "So time for Joan to run from her home to the lake=(64/35)/8=8/35 hr<BR>\n" );
document.write( "And time for Joan to run back home=(64/35)/6=64/210 hr<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "Total time then is: 8/35 + 64/210=48/210 + 64/210=112/210=8/15 hr\r<BR>\n" );
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document.write( "Hope this helps---ptaylor\r<BR>\n" );
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document.write( " </SPAN>\n" );
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