Question 198831
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Going Work in the morning:
{{{Speed=S[W]=45mph}}} & {{{time=t}}}


Going home:
{{{Speed=S[H]=30mph}}} & {{{time=(1hr-t)}}}



Distance Formula : D = Speed x time


{{{D[W]=S[W]t}}}
{{{D[H]=S[H](1-t)}}}


Since Distance is the same, we can equate the two:
{{{D[W]=D[H]}}}
{{{S[W]t=S[H](1-t)}}}
{{{(45)(t)=(30)(1-t)}}}
{{{45t=30-30t}}} ----> {{{45t+30t=30}}} ---> {{{75t=30}}} ---> {{{cross(75)t/cross(75)=cross(30)0.40/cross(75)}}}}
{{{red(t=0.40hr)}}} x {{{(60min/1cross(hr))}}} = {{{red(24mins)}}}


So the Distance, {{{D[W]=S[W]t=(45)(0.40)=red(18miles)}}},( Answer )


To check, the Distance going home should be the same.
{{{D[H]=S[H](1-t)}}}
{{{D[H]=(30)(1-0.40)=(30)highlight(0.60)=red(18miles)}}}, oks!


Total time spent driving:
time(Work) + time(Home) = 1 hour
{{{0.40+highlight(0.60)=1hr}}}
{{{1hr=1hr}}}


Thank you,
Jojo</font>