document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1196994>Question 1196994</A>: <I><SPAN STYLE=\"word-break: break-all;\">  One speed skater starts across a frozen lake at an average speed of 7 m/s. Ten seconds later, a second speed skater starts from the same point and skates in the same direction at an average speed of 8 m/s. How many seconds after the second skater starts will the second skater overtake the first skater? \r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #830049 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=830049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "t = number of seconds that elapse after the 2nd skater starts\r<BR>\n" );
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document.write( "t+10 represents the number of seconds that the 1st skater has been moving since this skater got a 10 second head start.<BR>\n" );
document.write( "In other words, the 1st skater has been moving for 10 seconds longer compared to the 2nd skater. \r<BR>\n" );
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document.write( "The 1st skater has a speed of 7 m/s<BR>\n" );
document.write( "Using distance = rate*time, we know that the 1st skater travels a distance of 7(t+10) = 7t+70 meters\r<BR>\n" );
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document.write( "The 2nd skater has a speed of 8 m/s<BR>\n" );
document.write( "distance = rate*time<BR>\n" );
document.write( "distance = 8t\r<BR>\n" );
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document.write( "The 2nd skater meets up with the first skater when both skaters travel the same distance.<BR>\n" );
document.write( "1st skater's distance = 2nd skater's distance<BR>\n" );
document.write( "7t+70 = 8t<BR>\n" );
document.write( "70 = 8t-7t<BR>\n" );
document.write( "70 = t<BR>\n" );
document.write( "t = 70\r<BR>\n" );
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document.write( "It takes 70 seconds for the two skaters to meet up. <BR>\n" );
document.write( "After this point in time, the 2nd skater is going to pull ahead and stay ahead. \r<BR>\n" );
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document.write( "Answer: <font color=red>70 seconds</font>\r<BR>\n" );
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document.write( "Extra info:<BR>\n" );
document.write( "70 seconds = 60 seconds + 10 seconds = 1 minute + 10 seconds<BR>\n" );
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