document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1128494>Question 1128494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I did this wrong twice and I am on my final chance to get it right; can someone please assist.  Thank you.\r<BR>\n" );
document.write( "\n" );
document.write( "A car travels 560 mi averaging a certain speed. If the car had gone 10 mph&#8203; faster, the trip would have taken 1 hr less. Find the&#8203; car's average speed. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #744964 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=744964\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "Apparently this question is from a course you are taking.  Our giving you the answer won't help you learn anything; and presumably learning something is your objective in taking the course.<br><BR>\n" );
document.write( "It would help us help you if, as you are asked to when you post your question, you told us what you tried to do on the problem.<br><BR>\n" );
document.write( "Algebraically, if x is the car's speed, then the number of hours taken to drive 560 miles is 560/x.  The number of hours to travel the same 560 miles at a speed 10mph faster would be 560/(x+10).  And the second time is 1 hour less than the first:<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=560%2F%28x%2B10%29+=+560%2Fx-1 ALIGN=MIDDLE  ALT=\"560%2F%28x%2B10%29+=+560%2Fx-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Multiply through by the least common denominator of all the fractions, x(x+10):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=560x+=+560%28x%2B10%29-x%28x%2B10%29 ALIGN=MIDDLE  ALT=\"560x+=+560%28x%2B10%29-x%28x%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=560x+=+560x%2B5600-x%5E2%2B10x ALIGN=MIDDLE  ALT=\"560x+=+560x%2B5600-x%5E2%2B10x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2-10x-5600+=+0 ALIGN=MIDDLE  ALT=\"x%5E2-10x-5600+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "Factor into the form (x+?)(x-?) to finish the problem.<br><BR>\n" );
document.write( "I hope you have learned enough from the course that you can do that....<br><BR>\n" );
document.write( "If you can't finish, then try finding the answer by logical guess-and-check.  Presumably this is a computer based question, and only an answer is needed; it doesn't matter how you get the answer.  (Well... if you want to learn from the course, it matters; but if you just need the right answer, you can guess it.)<br><BR>\n" );
document.write( "You need two numbers -- a reasonable highway speed in mph and a reasonable number of hours -- whose product is 560.  Then you need another speed 10mph faster and another number of hours that is 1 less, whose product is again 560.<br><BR>\n" );
document.write( "A little playing with \"nice\" numbers should allow you to guess the answer to the problem. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );