<PRE><B>Question 914830</B>
r, the usual speed


______________speed_______time_______distance
REGULAR________r__________(___)_______1500
LATE__________r+250_______t-1/2_______1500


The uniform rates rule for travel will allow an expression for the missing time for the regular trip.  


______________speed_______time_______distance
REGULAR________r__________(1500/r)_______1500
LATE__________r+250_______t-1/2_______1500


This means that the tabulated number information can be also shown as:


______________speed_______time_______distance
REGULAR________r__________(1500/r)_______1500
LATE__________r+250_______1500/r-1/2_______1500


Again using the basic rule for traveling uniform rates, we can form an equation for the LATE trip.  {{{highlight_green((r+250)(1500/r-1/2)=1500)}}}; which is an equation in just the single variable, r, which is also what the question asks to find.  Solve the equation for r.

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