document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331900>Question 331900</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Distance word problem\r<BR>\n" );
document.write( "\n" );
document.write( "When Fritz drives to work, his trip takes 36 minutes. On days when he takes the train to work, his trip is only 20 minutes. What is the distance of Fritz's trip is the train travels 32 miles per hour faster than driving? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237902 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16949)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=237902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let driving speed =x<BR>\n" );
document.write( "train speed = x+32 <BR>\n" );
document.write( "..<BR>\n" );
document.write( "time by drive = 36 minutes . 36/60 hours=3/5 hours<BR>\n" );
document.write( "time by train = 20 minutes. 20/60 hours = 1/3 hours<BR>\n" );
document.write( "..<BR>\n" );
document.write( "the distance is the same to his work place<BR>\n" );
document.write( "..<BR>\n" );
document.write( "distance = speed * time<BR>\n" );
document.write( "3x/5 = 1/3 *(x+32)<BR>\n" );
document.write( "3*3x=5*(x+32)<BR>\n" );
document.write( "9x=5x+160<BR>\n" );
document.write( "add -5x<BR>\n" );
document.write( "9x-5x=5x-5x+160<BR>\n" );
document.write( "4x= 160<BR>\n" );
document.write( "divide by 4<BR>\n" );
document.write( "x=40 miles.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );