Question 629122
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Hi,
Walking up a 4-mile trail, a hiker travels 1 mph slower than walking down the same trail at speed {{{highlight(x)}}}
Note:  D = rt  OR t = D/r
Question states*** total of 5 hours is spent walking up and down the trail
  {{{ 4/(x-1) + 4/x = 5hr}}}   |Multiplying thru by x(x-1) so as all denominators = 1
      4x + 4(x-1) = 5x(x-1)
      4x + 4x - 4 = 5x^2 - 5x 
                     5x^2 - 13x + 4 = 0
{{{x = (13 +- sqrt(89 ))/(10) }}}