Question 1193697
<br>
His speed flying against the wind is 180/2 = 90mph.<br>
1 hour 12 minutes is 1 1/5 hours, or 6/5 hours. His speed flying with the wind is 180/(6/5) = 150 mph.<br>
So<br>
plane speed plus wind speed = 150mph
plane speed minus wind speed = 90mph<br>
You can solve that algebraically if you want (or if you need to)...<br>
p+w=150
p-w=90
solve using basic algebra<br>
But this kind of problem can be solved using logical reasoning.<br>
Adding the wind speed to the plane's speed gives 150mph; subtracting it from the plane's speed gives 90mph.  That means the plane's speed is halfway between 90 and 150mph -- 120mph.  And then the wind speed is the difference between 120mph and 150mph (or between 120mph and 90mph) -- 30mph.<br>
ANSWERS:
plane speed: 120mph
wind speed: 30mph<br>