Question 198683
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</pre><font size=4><b>
{{{drawing(200,200,-10,10,-1,1,arrow(-.5,0,-8,0),arrow(.5,0,8,0),green(locate(-10,-.1,C[1]=55mph)),green(locate(3,-.1,C[2]=65mph)))}}}


Distance Formula: <font color=blue>D = Speed x time</font>


{{{D=(S[C1]+S[C2])(t)}}}
{{{180mi=(55+65)(t)}}}
{{{180=120(t)}}} ----> {{{cross(180)1.5/cross(120)=cross(120)t/cross(120)}}}
{{{red(t=1.5hrs)}}}, Answer


Let us check, by computing the Distance of each cars with the Speed in 1.5 hours
{{{D[C1]=S[1]t=(55)(1.5)=82.5miles}}}


{{{D[C2]=S[2]t=(65)(1.5)=97.5miles}}}


Then,
{{{D[C1]+D[C2]=180miles}}}
{{{82.5+97.5=180}}}
{{{180miles=180miles}}}



Thank you,
Jojo</font>