document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1011261>Question 1011261</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a family leaves home at 1pm, when billy asks are we there yet at 2:30pm they are 70 miles from gramdma's house, when jane asks at 2:45pm they are 55 miles away.\r<BR>\n" );
document.write( "\n" );
document.write( "how far from grandma's does the family live<BR>\n" );
document.write( "at what time will the family arrive at grandma's </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #626884 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=626884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Do we have to write linear equations?<BR>\n" );
document.write( " <BR>\n" );
document.write( "WITH LINEAR EQUATIONS:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" >= the family's speed (which for the purpose of this problem is constant), in miles per hour, and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >= total distance the family travels to grandma's house, in miles.<BR>\n" );
document.write( "When Billy asks \"Are we there yet?\",<BR>\n" );
document.write( "the family has been traveling for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5hours ALIGN=MIDDLE  ALT=\"1.5hours\"   DISABLED_style= \"max-width:90%; height:auto;\" > (from 1:00pm to 2:30pm).<BR>\n" );
document.write( "They have traveled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.5x ALIGN=MIDDLE  ALT=\"1.5x\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles, and their distance (in miles) to grandma's house is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1.5x=70 ALIGN=MIDDLE  ALT=\"y-1.5x=70\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "When Jane asks \"Are we there yet?\",<BR>\n" );
document.write( "the family has been traveling for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.75hours ALIGN=MIDDLE  ALT=\"1.75hours\"   DISABLED_style= \"max-width:90%; height:auto;\" > (from 1:00pm to 2:45pm).<BR>\n" );
document.write( "They have traveled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1.75x ALIGN=MIDDLE  ALT=\"1.75x\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles, and their distance (in miles) to grandma's house is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y-1.75x=55 ALIGN=MIDDLE  ALT=\"y-1.75x=55\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "We need to solve the system<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-1.5x=70%2Cy-1.75x=55%29 ALIGN=MIDDLE  ALT=\"system%28y-1.5x=70%2Cy-1.75x=55%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-1.5x=70%2Cy-1.5x-%28y-1.75x%29=70-55%29 ALIGN=MIDDLE  ALT=\"system%28y-1.5x=70%2Cy-1.5x-%28y-1.75x%29=70-55%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-1.5x=70%2Cy-1.5x-y%2B1.75x%29=15%29 ALIGN=MIDDLE  ALT=\"system%28y-1.5x=70%2Cy-1.5x-y%2B1.75x%29=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-1.5x=70%2C0.25=15%29 ALIGN=MIDDLE  ALT=\"system%28y-1.5x=70%2C0.25=15%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-1.5x=70%2Cx=15%2F0.25=60%29 ALIGN=MIDDLE  ALT=\"system%28y-1.5x=70%2Cx=15%2F0.25=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-1.5%2A60=70%2Cx=60%29 ALIGN=MIDDLE  ALT=\"system%28y-1.5%2A60=70%2Cx=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y-90=70%2Cx=60%29 ALIGN=MIDDLE  ALT=\"system%28y-90=70%2Cx=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >--><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28y=70%2B90=highlight%28160%29%2Cx=60%29 ALIGN=MIDDLE  ALT=\"system%28y=70%2B90=highlight%28160%29%2Cx=60%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So the family lives <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28160%29 ALIGN=MIDDLE  ALT=\"highlight%28160%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles from grandma's house,<BR>\n" );
document.write( "and at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60 ALIGN=MIDDLE  ALT=\"60\"   DISABLED_style= \"max-width:90%; height:auto;\" > mph it would take them<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=160miles%2F%2260+mph%22=about2%262%2F3 ALIGN=MIDDLE  ALT=\"160miles%2F%2260+mph%22=about2%262%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=hours=2hours%2B40minutes ALIGN=MIDDLE  ALT=\"hours=2hours%2B40minutes\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "so they will arrive at grandma's house at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%3A40 ALIGN=MIDDLE  ALT=\"3%3A40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pm ALIGN=MIDDLE  ALT=\"pm\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( " <BR>\n" );
document.write( "THE FIFTH GRADER SOLUTION:<BR>\n" );
document.write( "IN the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45-30=15 ALIGN=MIDDLE  ALT=\"45-30=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes between Billy's question and Jane's question<BR>\n" );
document.write( "the family had traveled <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70-55=15 ALIGN=MIDDLE  ALT=\"70-55=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles,<BR>\n" );
document.write( "so they are traveling 1 mile per minute.<BR>\n" );
document.write( "When Billy asked, at 2:30pm, they were <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70 ALIGN=MIDDLE  ALT=\"70\"   DISABLED_style= \"max-width:90%; height:auto;\" > miles from Grandma's house.<BR>\n" );
document.write( "At <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > mile per minute, they will cover that distance in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70 ALIGN=MIDDLE  ALT=\"70\"   DISABLED_style= \"max-width:90%; height:auto;\" > minutes,<BR>\n" );
document.write( "so they will arrive at grandma's house <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=70-minutes=1hour%2B10minutes ALIGN=MIDDLE  ALT=\"70-minutes=1hour%2B10minutes\"   DISABLED_style= \"max-width:90%; height:auto;\" > after 2:30pm.<BR>\n" );
document.write( "They will arrive at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%3A30 ALIGN=MIDDLE  ALT=\"2%3A30\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pm%2B1%3A10=3%3A40 ALIGN=MIDDLE  ALT=\"pm%2B1%3A10=3%3A40\"   DISABLED_style= \"max-width:90%; height:auto;\" ><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pm ALIGN=MIDDLE  ALT=\"pm\"   DISABLED_style= \"max-width:90%; height:auto;\" > . </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );