document.write( "Question 1127482: A long distance runner started on a course running at an average speed of 6 mph. One hour later, a second runner began the same course at an average speed of 8 mph. How long after the second runner started will the second runner overtake the first runner? \n" ); document.write( "
Algebra.Com's Answer #743931 by ankor@dixie-net.com(22740)\"\" \"About 
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A long distance runner started on a course running at an average speed of 6 mph. One hour later, a second runner began the same course at an average speed of 8 mph.
\n" ); document.write( " How long after the second runner started will the second runner overtake the first runner?
\n" ); document.write( ":
\n" ); document.write( "let t = 2nd runner's time when overtaking the 1st runner
\n" ); document.write( "then
\n" ); document.write( "(t+1) = 1st runner's time
\n" ); document.write( ":
\n" ); document.write( "When the 2nd runner catches the 1st, they will have traveled the same distance.
\n" ); document.write( "write a distance equation; speed * time
\n" ); document.write( "8t = 6(t+1)
\n" ); document.write( "8t = 6t + 6
\n" ); document.write( "8t - 6t = 6
\n" ); document.write( "2t = 6
\n" ); document.write( "t = 6/2
\n" ); document.write( "t = 3 hrs for the 2nd runner to catch the 1st. \n" ); document.write( "
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