Question 838701
______________speed__________time___________distance
Going__________r_____________(___)_____________2500
Return_______1.2r____________(___)_____________2500
Total_______________________{{{9&1/6}}}



Fill the time expressions:


______________speed__________time___________distance
Going__________r_____________{{{(2500/r)}}}_____________2500
Return_______1.2r____________{{{(2500/(1.2r))}}}_____________2500
Total_______________________{{{9&1/6}}}


Sum of the times give equation to solve:
{{{highlight_green(2500/r+2500/(1.2r)=9&1/6)}}}
Simplify.
{{{2500/r+2083&1/3r=9&1/6}}}
Multiply members by 6r.
{{{6*2500+12500=6r(55/6)}}}
{{{15000+12500=6*55r}}}
{{{6*55r=27500}}}
{{{r=27500/(2*3*5*11)}}}
{{{r=2750/(3*11)}}}
{{{highlight(r=83&1/3)}}} miles per hour