document.write( "Question 504626: Nick and Scott leave opposite ends of a bike trail 13 mi apart and travel toward each other. Scott is traveling 2 mph slower than Nick. Find each of their speeds if they meet after 30 minutes. \n" ); document.write( "
Algebra.Com's Answer #339666 by htmentor(1343)\"\" \"About 
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Nick and Scott leave opposite ends of a bike trail 13 mi apart and travel toward each other. Scott is traveling 2 mph slower than Nick. Find each of their speeds if they meet after 30 minutes.
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\n" ); document.write( "To solve, we could consider their individual distances and speeds, but we can also solve using their RELATIVE speed.
\n" ); document.write( "If s = Nick's speed, then Scott's speed = s - 2
\n" ); document.write( "The relative speed s + s - 2 = 2s - 2
\n" ); document.write( "So the two riders approaching one another is the same as one rider standing
\n" ); document.write( "still and the other approaching at speed 2s - 2
\n" ); document.write( "The 13 mile distance is covered in 30 min.
\n" ); document.write( "So we can solve for s using
\n" ); document.write( "2s - 2 = 13 mi/0.5 h
\n" ); document.write( "2s = 28
\n" ); document.write( "s = 14 mi/h
\n" ); document.write( "So Scott's speed = 12 mi/h \n" ); document.write( "
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