Question 838544
Assign variables to whatever you not know.
Use RT=D and fill in a data table.


__________________speed___________time_________distance
CAR_________________r_____________1/2__________r(1/2)
BUS_______________(r-12)__________3/4_________(r-12)(3/4)


The car and the bus method use the same distance to reach the same destination, {{{highlight_green(r(1/2)=(r-12)(3/4))}}}.
Solve for the rate first, and then you can compute the distance.  Start the equation solving by multiplying both sides by 4:


{{{2r=(r-12)*3}}}
{{{2r=3r-36}}}
{{{highlight(36=r)}}}
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Since the distance is {{{r(1/2)}}}, this is {{{highlight(36(1/2)=highlight(18))}}} miles