document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305282>Question 305282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> lydia takes 10 mins more to complete an illustration than tom. the total time taken by both of them is 6hrs. how much time did each required? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218623 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=218623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> lydia takes 10 mins more to complete an illustration than tom.<BR>\n" );
document.write( " the total time taken by both of them is 6hrs.<BR>\n" );
document.write( " how much time did each required?<BR>\n" );
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document.write( "Change 6 hr to 360 minutes<BR>\n" );
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document.write( "Let t = tom's time alone (in minutes)<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+10) = Lydia's time alone<BR>\n" );
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document.write( "Let the complete job = 1<BR>\n" );
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document.write( "A typical shared work equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2Ft ALIGN=MIDDLE  ALT=\"360%2Ft\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=360%2F%28%28t%2B10%29%29 ALIGN=MIDDLE  ALT=\"360%2F%28%28t%2B10%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 1<BR>\n" );
document.write( "multiply equation by t(t+10), resulting in<BR>\n" );
document.write( "360(t+10) + 360t = t(t+10)<BR>\n" );
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document.write( "360t + 3600 + 360t = t^2 + 10t<BR>\n" );
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document.write( "720t + 3600 = t^2 + 10t<BR>\n" );
document.write( "Arrange as a quadratic equation<BR>\n" );
document.write( "0 = t^2 + 10t - 720t + 3600<BR>\n" );
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document.write( "t^2 - 710t + 3600 = 0<BR>\n" );
document.write( "use the quadratic formula, only one solution will be reasonable </SPAN>\n" );
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