document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=100138>Question 100138</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0078603900/algebrahomeworkh>Glenco Algebra I</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> The Yankee Clipper leaves the pier at 9:00 AM at 8 knots. A half hour later, The River Rover leaves the same pier in the same direction traveling at 10 knots. At what time will The River Rover overtake The Yankee Clipper?\r<BR>\n" );
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document.write( "I'm not sure how to solve this when both time and distance are missing. Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #72926 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=72926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The Yankee Clipper leaves the pier at 9:00 AM at 8 knots. A half hour later, The River Rover leaves the same pier in the same direction traveling at 10 knots. At what time will The River Rover overtake The Yankee Clipper?<BR>\n" );
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document.write( "Comment: That is what algebra is all about; if something is missing,<BR>\n" );
document.write( "call it \"x\" and solve for it.<BR>\n" );
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document.write( "Clipper DATA:<BR>\n" );
document.write( "Rate = 8 knots ; Distance = x miles ; time = d/r = x/8 hrs.<BR>\n" );
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document.write( "Rover DATA:<BR>\n" );
document.write( "Rate = 10 knots; Distance = x miles ; time = d/r = x/10 hrs.<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "Cipper time = Rover time + (1/2) hr.<BR>\n" );
document.write( "x/8 = x/10 + (1/2)<BR>\n" );
document.write( "Multiply thru by 40 to get:<BR>\n" );
document.write( "5x = 4x + 20<BR>\n" );
document.write( "x = 20 miles<BR>\n" );
document.write( "Clipper time = 20/8= 5/2 hrs. <BR>\n" );
document.write( "9:00 plus (5/2) hrs = 11:30 AM<BR>\n" );
document.write( "Rover will over take Clipper at 11:30 AM<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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