I am not sure how this falls on the question about homework questions because technically this is a homework question however I am not a student just a learner trying to reacquaint myself with college algebra.
The chapter covers modeling and the specific questions gives four constants. A total distance of $70$mi, a total time of $4.5$ hours and two rates of speed $20$ mi/h and $12$ mi/h and the question is to find what was the amount of distance traveled at $20$ mi/h.
Really, I am not sure, where to begin.Please help
Start with the system of equations (for the total distance and for the total time) $$ S = S_1 + S_2, $$ where $S$ is the total distance and $S_1$, $S_2$ are distances traveled with velocities $v_1$, $v_2$ respectively. Now the time $$ t = t_1 + t_2 = S_1/v_1 + S_2/v_2, $$ where $t$ is the total time and $t_1 = S_1/v_1$, $t_2 = S_2/v_2$ are times spent travelling with velocities $v_1$, $v_2$ respectively. Now just solve this $2$ equations for $S_1$, $S_2$ and you'll get the answer.