document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=655559>Question 655559</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help!!! 2 problems. I don't get word problems at all.\r<BR>\n" );
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document.write( "1) It takes Molly 5 minutes longer to dig a hole that it takes Holly. If they dig the hole together, it takes them 6 minuites. How long would it take Molly to dig a hole by herself? (round to nearest tenth)\r<BR>\n" );
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document.write( "2) Willie paddled 12 miles up the creek and then paddled 12 miles back. If the speed of the current was 3mph and the total trip took 4 hours, what was Willie's speed?\r<BR>\n" );
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document.write( "Thanks, Kenny klhopen@gmail.com </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #409184 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=409184\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1) It takes Molly 5 minutes longer to dig a hole that it takes Holly. If they dig the hole together, it takes them 6 minuites. How long would it take Molly to dig a hole by herself? (round to nearest tenth)<BR>\n" );
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document.write( "Molly takes m minutes to dig the hole alone.<BR>\n" );
document.write( "Holly takes h minutes...<BR>\n" );
document.write( "\"It takes Molly 5 minutes longer to dig a hole that it takes Holly\" --> m = h+5\r<BR>\n" );
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document.write( "Molly digs the hole in m minutes, so each minute she digs 1/m of the hole<BR>\n" );
document.write( "Holly digs 1/h of the hole.<BR>\n" );
document.write( "Together, they dig 1/m + 1/h of the hole, and it takes them 6 minutes.<BR>\n" );
document.write( "--> 1/m + 1/h = 1/6<BR>\n" );
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document.write( "Now it's not a \"word problem.\"<BR>\n" );
document.write( "1/m + 1/h = 1/6<BR>\n" );
document.write( "m = h+5<BR>\n" );
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document.write( "1/m + 1/h = 1/6<BR>\n" );
document.write( "Multiply thru by 6mh to eliminate the fractions.<BR>\n" );
document.write( "6h + 6m = h*m<BR>\n" );
document.write( "Sub for m in the 1st equation<BR>\n" );
document.write( "6h + 6(h+5) = h*(h+5)<BR>\n" );
document.write( "6h + 6h+30 = h^2 + 5h<BR>\n" );
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document.write( "(h - 10)*(h + 3) = 0<BR>\n" );
document.write( "h = -3 Ignore, they can't do it in -3 minutes.<BR>\n" );
document.write( "h = 10 minutes<BR>\n" );
document.write( "Holly's time alone<BR>\n" );
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document.write( "m = h+5 = 15 minutes<BR>\n" );
document.write( "Molly's time alone.<BR>\n" );
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document.write( "That's a complex problem, don't feel bad about needing help.<BR>\n" );
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document.write( "2) Willie paddled 12 miles up the creek and then paddled 12 miles back. If the speed of the current was 3mph and the total trip took 4 hours, what was Willie's speed?<BR>\n" );
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document.write( "w = Willie's paddling speed<BR>\n" );
document.write( "c = speed of current = 3 mi/hr<BR>\n" );
document.write( "Upstream, he moved at (w-c) mi/hr<BR>\n" );
document.write( "Downstream, it's (w+c) mi/hr<BR>\n" );
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document.write( "d = r*t<BR>\n" );
document.write( "t = d/r<BR>\n" );
document.write( "t = 12/(w-3) + 12/(w+3) = 4<BR>\n" );
document.write( "12/(w-3) + 12/(w+3) = 4<BR>\n" );
document.write( "Can you finish that?<BR>\n" );
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