Question 186891
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Let's see how far {{{P[1]}}} travelled in that {{{(1/2)hr}}}:
*Remember{{{system(Speed=Distance/time)}}}--->{{{D[1]=S*t}}}
{{{D[1]=220*0.50=110miles}}}
The  Distance is constant since both on the same directions: {{{D[1]=D[2]}}}
*And DON'T FORGET <font color="red">to add 110 miles </font>to {{{P[1]}}} since it has head start.
{{{D[1]+110=D[2]}}}
{{{S[1]*t+110=S[2]*t}}}
{{{220*t+110=270*t}}}
{{{270t-220t=110}}}---->{{{50t=110}}}--->{{{cross(50)t/cross(5)=cross(110)2.2/cross(50)}}}
{{{highlight(t=2.2hrs)}}} *Exactly at this time of travelling, {{{D[1]=D[2]}}}
Let's check:
{{{D[1]=220*2.2+110=484+110=594miles}}}
{{{D[2]=270*2.2=594miles}}}
Therefore, <font color="red">AFTER 2.2 hrs</font>, Plane 2 will overtake Plane 1,it's faster with Speed of 270mph.
Thank you,
Jojo</pre>