document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=221380>Question 221380</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can someone please solve this sum for me and explain how you got to the answer?<BR>\n" );
document.write( "Two cyclists start biking from a trail's start 3 hours apart. The second cyclist travels at 10 miles per hour and starts 3 hours after the first cyclist who is traveling at 6 miles per hour. How much time will pass beofre the second cyclist catches up with the first from the time the second cyclist started biking?<BR>\n" );
document.write( "muchos gracias (: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166173 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=166173\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Two cyclists start biking from a trail's start 3 hours apart.<BR>\n" );
document.write( " The second cyclist travels at 10 miles per hour and starts 3 hours after the<BR>\n" );
document.write( " first cyclist who is traveling at 6 miles per hour. <BR>\n" );
document.write( "How much time will pass before the second cyclist catches up with the first<BR>\n" );
document.write( " from the time the second cyclist started biking?<BR>\n" );
document.write( ";<BR>\n" );
document.write( "Let t = travel time of the 2nd cyclist<BR>\n" );
document.write( "then<BR>\n" );
document.write( "(t+3) = travel time of the 1st cyclist<BR>\n" );
document.write( ":<BR>\n" );
document.write( "When the 2nd overtakes the 1st, they will have traveled the same distance.<BR>\n" );
document.write( "Write a distance equation using this fact: Dist = speed * time<BR>\n" );
document.write( ":<BR>\n" );
document.write( "2nd cyclist dist = 1st cyclist dist<BR>\n" );
document.write( "10t = 6(t+3)<BR>\n" );
document.write( "10t = 6t + 18<BR>\n" );
document.write( "10t - 6t = 18<BR>\n" );
document.write( "4t = 18<BR>\n" );
document.write( "t = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F4 ALIGN=MIDDLE  ALT=\"18%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "t = 4.5 hrs from the time the 2nd cyclist starts<BR>\n" );
document.write( ";<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solution by finding the distance traveled by each (should be equal)<BR>\n" );
document.write( "10*4.5 = 45 mi<BR>\n" );
document.write( "6*7.5 = 45 mi; confirms our solution<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Answering your question about the time.<BR>\n" );
document.write( "it should be apparent to you that the 1st cyclist was on the road 3 hr longer<BR>\n" );
document.write( "than the 2nd cyclist \"t\",  hence we call 1st cyclist time \"t+3\" </SPAN>\n" );
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