document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045132>Question 1045132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a vehicle front wheel  is 4m in circumference and rear wheel is 6m in circumference, After traveling few distance front wheel rotated 10 times than rear wheel. What is the distance traveled by the vehicle? (please explain the method)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660568 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660568\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of turns for the rear wheel<BR>\n" );
document.write( "Since the front wheel rotated 10 times more than the rear wheel,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n%2B10 ALIGN=MIDDLE  ALT=\"n%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" >= number of turns for the front wheel.<BR>\n" );
document.write( "Since the circumference of the rear wheel, in meters, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "each turn of the rear wheel makes the vehicle advance <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6 ALIGN=MIDDLE  ALT=\"6\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters.<BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6n ALIGN=MIDDLE  ALT=\"6n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= distance traveled by the vehicle, in meters.<BR>\n" );
document.write( "Similarly, each turn of the from wheel corresponds to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters of distance traveled.<BR>\n" );
document.write( "So, we can also say that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28n%2B10%29 ALIGN=MIDDLE  ALT=\"4%28n%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= distance traveled by the vehicle, in meters.<BR>\n" );
document.write( "Because we are talking about the same distance<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6n=4%28n%2B10%29 ALIGN=MIDDLE  ALT=\"6n=4%28n%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "We just havwe to solve that equation to find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n ALIGN=MIDDLE  ALT=\"n\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and then we can calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6n ALIGN=MIDDLE  ALT=\"6n\"   DISABLED_style= \"max-width:90%; height:auto;\" >= distance traveled by the vehicle, in meters.<BR>\n" );
document.write( "To verify that we solved teh problem correctly, we can also calculate<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28n%2B10%29 ALIGN=MIDDLE  ALT=\"4%28n%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >= distance traveled by the vehicle, in meters,<BR>\n" );
document.write( "and it should be the same distance.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6n=4%28n%2B10%29 ALIGN=MIDDLE  ALT=\"6n=4%28n%2B10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6n=4n%2B40%29 ALIGN=MIDDLE  ALT=\"6n=4n%2B40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6n-4n=40%29 ALIGN=MIDDLE  ALT=\"6n-4n=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2n=40%29 ALIGN=MIDDLE  ALT=\"2n=40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=40%2F2 ALIGN=MIDDLE  ALT=\"n=40%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=n=20 ALIGN=MIDDLE  ALT=\"n=20\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, the rear wheel turned <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" > times,<BR>\n" );
document.write( "and the distance traveled by the vehicle, in meters, is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2A20=highlight%28120%29 ALIGN=MIDDLE  ALT=\"6%2A20=highlight%28120%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Verification:<BR>\n" );
document.write( "If the rear wheel turned <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20 ALIGN=MIDDLE  ALT=\"20\"   DISABLED_style= \"max-width:90%; height:auto;\" > times,<BR>\n" );
document.write( "the front wheel must have turned <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20%2B10=30 ALIGN=MIDDLE  ALT=\"20%2B10=30\"   DISABLED_style= \"max-width:90%; height:auto;\" > times.<BR>\n" );
document.write( "with each turn of the front wheel corresponding to the vehicle advancing <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > meters,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30 ALIGN=MIDDLE  ALT=\"30\"   DISABLED_style= \"max-width:90%; height:auto;\" > turns of the front wheel correspond to a distance traveled by the vehicle, in meters, of<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A30=120 ALIGN=MIDDLE  ALT=\"4%2A30=120\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );