<PRE><B>Question 568284</B>
Second part x	x	mph 	424	miles						
First part x+	5	mph 	116	miles						
Time first part +Time second part =10	hours					
116	/	(x 		5	)+(	424	/x)=	10		
Multiply equation by the LCD	(x+5)x 					
116	x+	424	(x+	5	)=	10				
116	x+	424	x+	2120	=	10(x+5)*x	
116	x+	424	x+	2120	=10X^2+50x
10	X^2	-490	x 	-2120	=	0	
/10
x^2-49x-212=0

Facorize

x^2-53x+4x-212=0
x(x-53)+4(x-53)=0
(x-53)(x+4)=0
x=53 which is positive

53 mph on the first leg			
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