Question 709392
pp
The Joggers__________rate__________time hrs.___________distance
fast_________________7_____________t___________________d
slower_______________4_____________t+2/3_______________d


The (2/3) of the hour is the same as 40 minutes.


The distance that each jogged is the same, so equate the expressions for their distance, rate in miles per hour multiplied by the hours.


{{{7t=4(t+2/3)}}}, and solve for t in hours.  Once t is known, use either joggers data to compute d.



{{{7t=4t+8/3}}}
{{{3t=8/3}}}
{{{highlight(t=8/9)}}}, hours


{{{highlight(d=7*(8/9))}}}, miles


(This result appeared to be about a 10 kilometer event.)