Question 866727
Versus Wind__________Speed__________time_________distance
WITH_________________r+50____________t___________1200
AGAINST______________r-50____________t___________1000


r = speed of plane if wind absent
t = unknown time for both directions described


Uniform Motion Rate, RT=D for rate, time, distance.


Time WITH Wind:
{{{t=1200/(r+50)}}}


Time AGAINST Wind:
{{{t=1000/(r-50)}}}


The times were given as equal.
{{{1200/(r+50)=1000/(r-50)}}}
{{{1200(r-50)=1000(r+50)}}}
{{{12(r-50)=10(r+50)}}}
{{{12r-600=10r+500}}}
{{{2r=500+600}}}
{{{r=1100/2}}}
{{{highlight(r=550)}}}, plane's speed in still air.