<PRE><B>Question 1155618</B>
Alexa makes a journey of 430km, traveling 160km by bus and 270km by car. If the car
averages 10km/h faster than the bus and the whole journey takes 5 hours, what is the

Time by bus + time by car = 5

{{{160/x  +270/(x+10)= 5}}}

Multiply by LCD														
160	(x	+	10	)+	270	x	=	5	x(x+	10	)			
160	x		+	1600		,+	270	*	x	=	5	x^2	+	50
-5	X^2+	380	x	+	1600	=	0							
Find the roots of the equation by quadratic formula														
														
a=	-5	,b=	380	,c=	1600								-33.75	
					b^2-4ac=								176400	
b^2-4ac=	144400	-	-32000											
b^2-4ac=	176400			{{{sqrt(	176400	)}}}=	420							
{{{x=(-b+-sqrt(b^2-4ac))/(2a)}}}														
{{{x1=(-b+sqrt(b^2-4ac))/(2a)}}}														
x1=(	-380	+	420	)/	-10							29.8258		
x1=	-4													
x2=(	-380	-420	) /	-10								415.0943156		
x2=	80													
Ignore negative value														
x	=	80	mph	Bus		speed								
90	mph=	Car		speed										
														


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