<PRE><B>Question 297103</B>
Speed of the slower plane = x miles per hour.
Speed of the faster plane = (x+50) miles per hour.


Rate * Time = Distance.


Faster plane equation becomes:


(x+50) * 3 = D


Slower plane equation becomes:


x * 3.5 = D


Since they both equal D, then they both equal each other and we get:


(x+50) * 3 = x * 3.5


Simplify to get:


3*x + 150 = 3.5*x


Subtract 3*x from both sides of the equation to get:


.5*x = 150


Divide both sides of the equation by .5 to get:


x = 300


The slower plane is flying at 300 miles per hour.


The faster plane is traveling at 350 miles per hour.


the equation for the faster plane becomes:


350 * 3 = D = 1050 miles.


The equation for the slower plane becomes:


300 * 3.5 = D = 1050 miles.


the distance is the same in both equations as it should be.


The distance is 1050 miles.


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