Question 1185904
<br>
Speed against the wind: 2320/4=580mph<br>
Speed with the wind: 2760/4=690mph<br>
The 690mph is wind speed added to the plane speed; the 580mph is the wind speed subtracted from the plane speed.<br>
That means the plane speed is halfway between 580 and 690mph, which is 635mph.<br.
Then the wind speed is the difference between 580 and 635mph (or the difference between 635 and 690mph), which is 55mph.<br>
ANSWERS:
plane speed: 635mph
wind speed: 55mph<br>
If you need formal algebra....<br>
p=plane speed
w=wind speed
p+w=690
p-w=580
(add...)
2p=1270
p=1270/2=635
635+w=690
w=55<br>