Question 1087707
r, speed going
r-2, speed to go back home
t, the time going to work

{{{system(rt=25,(r-2)t=20)}}}

-
{{{rt-2t=20}}}
{{{25-2t=20}}}, using substitution from "going to" equation
{{{-2t=-5}}}
{{{t=5/2}}}
-
{{{rt=25}}}
{{{r=25/t}}}
{{{r=25/(2.5)}}}
{{{highlight(r=10)}}}



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<pre>
                RATE     TIME     DISTANCE
GOING           r         t        rt=25
BACK HOME       r-2       t         20
</pre>

Basic Travel Rate Rule, RT=D:
System,  {{{system(rt=25,(r-2)*t=20)}}}