Question 349503
Rate*Time=Distance
{{{R*t=D}}}
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The two rates are the jogging rate, {{{8}}}, and the running rate,{{{12}}}.
The two rates are the jogging time, {{{t[j]}}}, and the running time,{{{t[r]}}}.
You know the total distance and the total time.
Total time:
Convert 40 minutes to hours to be consistent with the rate units.
1.{{{t[j]+t[r]=40/60=2/3}}}
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Distance:
{{{8t[j]+12t[r]=6}}}
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2.{{{4t[j]+6t[r]=3}}}
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You have two equations in two unknowns.
Use either substitution or elimination to solve.