Question 318957
Rate*Time=Distance
{{{ Rs=180}}}
{{{Rp=550}}}
In 1 hour, the small plane has already traveled 180 miles.
The distance for the small plane is,
{{{Ds=Rs*t+180}}}
The distance for the jet plane is,
{{{Dp=Rp*t}}}
Find when the distances are equal.
{{{Ds=Dp}}}
{{{Rs*t+180=Rp*t}}}
{{{180t+180=550t}}}
{{{370t=180}}}
{{{t=18/37}}}hrs
Now use either distance equation to find the distance.
{{{Dp=550t=550(18/37)}}}
{{{highlight(Dp=9900/37)}}} or approximately 
{{{Dp=268}}} miles