document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=592255>Question 592255</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One day Ayaan covered a distance of 24 km at x km/hr and another 40 km at y km/hr. Next day he covered 18 km at x km/hr and another 48 km at y km/hr. If each day he took 9 hours to complete his journey, find the corresponding values of speed of x and y. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #375926 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=375926\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One day Mayan covered a distance of 24 km at x km/hr and another 40 km at y km/hr.<BR>\n" );
document.write( " Next day he covered 18 km at x km/hr and another 48 km at y km/hr.<BR>\n" );
document.write( " If each day he took 9 hours to complete his journey, find the corresponding values of speed of x and y.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Write a time equation for each day<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2Fx ALIGN=MIDDLE  ALT=\"24%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fy ALIGN=MIDDLE  ALT=\"40%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Fx ALIGN=MIDDLE  ALT=\"18%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Fy ALIGN=MIDDLE  ALT=\"48%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Multiply the 1st equation by 1.2, subtract the 2nd equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=28.8%2Fx ALIGN=MIDDLE  ALT=\"28.8%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Fy ALIGN=MIDDLE  ALT=\"48%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 10.8<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2Fx ALIGN=MIDDLE  ALT=\"18%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2Fy ALIGN=MIDDLE  ALT=\"48%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( "---------------------------subtraction eliminates y<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.8%2Fx ALIGN=MIDDLE  ALT=\"10.8%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >} + 0 = 1.8<BR>\n" );
document.write( "10.8 = 1.8x<BR>\n" );
document.write( "x = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10.8%2F1.8 ALIGN=MIDDLE  ALT=\"10.8%2F1.8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "x = 6 km/hr <BR>\n" );
document.write( ":<BR>\n" );
document.write( "Find the y using the 1st day equation<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%2F6 ALIGN=MIDDLE  ALT=\"24%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fy ALIGN=MIDDLE  ALT=\"40%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( "4 + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fy ALIGN=MIDDLE  ALT=\"40%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40%2Fy ALIGN=MIDDLE  ALT=\"40%2Fy\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9-4<BR>\n" );
document.write( "40 = 5y<BR>\n" );
document.write( "y = 40/5<BR>\n" );
document.write( "y = 8 km/hr<BR>\n" );
document.write( ":<BR>\n" );
document.write( ":<BR>\n" );
document.write( "Check solutions in the 2nd day equation<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=18%2F6 ALIGN=MIDDLE  ALT=\"18%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48%2F8 ALIGN=MIDDLE  ALT=\"48%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 9<BR>\n" );
document.write( "3 + 6 = 9<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );