<PRE><B>Question 335599</B>
a distance of 22 miles, in approximately 3 hours fighting a headwind.
 On the return trip, this headwind would become a tailwind.
 Let us assume that the cyclist can pedal at a rate of 12 mi / hr without wind interference. 
Exhibit a rational expression for the round trip time, 
:
let w = speed of the wind
Find the speed of the wind, 
(12-w) = {{{22/3}}}
3(12-w) = 22
36 - 3w = 22
-3w = 22 - 36
-3w = -14
w = {{{(-14)/(-3)}}}
w = +4{{{2/3}}} mph is the wind speed (we will use 4.67 mph)

t = round trip time
t = {{{22/((12 + 4.67))}}} + 3
t = {{{22/(16.67)}}} + 3
t = 1.32 + 3
t = 4.32 hrs for the round trip</PRE>