Question 560057
First part speed = x mph -- 45 miles
second part -x-5 mph  ------10 miles 

time first part + time second part = 2 hours

t=d/r
45/x + 10/(x-5)= 2

LCD = x(x-5)
45(x-5)+10x=2x(x-5)
45x-225+10x=2x^2-10x
2x^2-65x+225=0
Find the roots of the equation by quadratic formula							
							
a=	2	b=	-65	c=	225	
	
b^2-4ac=	4225	-	-1800				
b^2-4ac=	2425			{{{sqrt(	2425	)}}}=	49.24
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}							
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}							
x1=(	65	+	49.24	)/	4		
x1=	28.56					
x2=(	65	-49.24	) /	4			
x2= 	3.94		

first part speed = 28.56 mph
second part = 28.56-5= 23.56 mph

m.ananth@hotmail.ca