document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=754104>Question 754104</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A man travels 108km at a constant speed and finds that he could have made the journey 4.5 hours shorter if he had travelled 2km/h faster. What was his speed?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #458780 by </B><A HREF=/tutors/aboutme.mpl?userid=blueplanet><B>blueplanet(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=blueplanet><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=blueplanet><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=458780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the speed of the man be X.  At this speed, the total time he takes to travel 108km is 108/X.\r<BR>\n" );
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document.write( "If he had travelled 2km/hour faster, his speed would have been X+2 km/hour. At this speed, he could have arrived at the destination 4.5 hours earlier. This means that the time taken to travel would have been 108/x -4.5 hours if his speed had been (X+2) km/hour.\r<BR>\n" );
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document.write( "So, according to the question, we have:\r<BR>\n" );
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document.write( "108/X - 4.5 = 108/ (X+2)   ----------- (1)\r<BR>\n" );
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document.write( "Solving this equation, we get X = 6 or -4.  So, his speed is 6km/hour.<BR>\n" );
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