document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331739>Question 331739</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Domic rode his motorbike 20 min to Helen’s home, and then the two drove in a car 30 min to the beach 35 mi from Dominic’s home. If the car speed was 10 mi/h faster than that of the motorbike, how fast did the car travel? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237838 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=237838\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Domic rode his motorbike 20 min to Helen’s home, <BR>\n" );
document.write( "and then the two drove in a car 30 min to the beach 35 mi from Dominic’s home.<BR>\n" );
document.write( " If the car speed was 10 mi/h faster than that of the motorbike, how fast did the car travel?<BR>\n" );
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document.write( "A rough diagram will make it look simple<BR>\n" );
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document.write( "D----------20 min-----------H------------30 min-----------Beach<BR>\n" );
document.write( "|------------------------------35 mi------------------------|\r<BR>\n" );
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document.write( "Let s = motorcycle speed<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(s+10) = car speed<BR>\n" );
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document.write( "Change 20 min to 1/3 hr<BR>\n" );
document.write( "Change 30 min to 1/2 hr<BR>\n" );
document.write( "Write a dist equation, Dist = time * speed<BR>\n" );
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document.write( "motorcycle dist + car dist = 35 mi<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >s + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(s+10) = 35<BR>\n" );
document.write( "multiply by 6 to get rid of the denominators, results:<BR>\n" );
document.write( "2s + 3(s+10) = 6(35)<BR>\n" );
document.write( "2s + 3s + 30 = 210<BR>\n" );
document.write( "5s = 210 - 30<BR>\n" );
document.write( "5s = 180<BR>\n" );
document.write( "s = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%2F5 ALIGN=MIDDLE  ALT=\"180%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "s = 36 mph is the motorcycle<BR>\n" );
document.write( "then<BR>\n" );
document.write( "36 + 10 = 46 mph is the car<BR>\n" );
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document.write( "Check solutions using the distances<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >(36) + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >(46) =<BR>\n" );
document.write( "12 + 23 = 35 mi; confirms our solutions\r<BR>\n" );
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document.write( "	 </SPAN>\n" );
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