Question 775493
The first and slow plane flies for 3+x hours and the fast late plane flies for just the x hours, before the fast plane reaches the same distance - both planes being at same distance.  How far from the airport, d?


Slow early plane: {{{300(x+3)}}} miles
Fast late plane:  {{{800*x}}} miles
Those distance will be equal when the fast one catches up with the slow one.
{{{300(x+3)=800x}}}
{{{3(x+3)=8x}}}
{{{3x+9=8x}}}
{{{5x=9}}}
{{{x=9/5}}}
{{{x=1&4/5}}} hours, or 1 hour 48 minutes