Question 627238
The wind is moving air from an area of high pressure to an area of low pressure. The speed at which the wind moves relative to the ground is wind speed.


In equation form, speed is:

    {{{v = d/t}}} 

if the time when airplane travels with the wind is {{{t1}}} and the time when airplane travels against the wind is {{{t2}}}, we are given that {{{t1=t2}}}...we will use {{{t}}}

so, if it travels {{{3699}}} miles with the wind and has a speed of {{{380 mph}}}, we have 

{{{380 mph = 3699m/t}}} ....now calculate the time {{{t}}}

{{{380 mph *t= 3699m}}}

{{{ t= 3699m/380 mph}}}


{{{ t= 3699cross(m)/380cross(m/h)}}}


{{{ t= (3699/380)h}}}

{{{ t= 9.7h}}}.....now we know the time and we can plug it in formula for speed against wind where {{{d=3141m}}} using same time

{{{v = 3141m/9.7h}}} 

{{{highlight(v = 323.8mph)}}} .........your answer