Question 541143
Riding	12	miles													
Hiking	8	miles													
															
Riding	x			mph											
Hiking	x		-10	mph											
Total time		5	hours												
Time forward		150	/	x											
Time return		150	/	(	x	-10	)								
															
Time first part + time second part =			5	hours											
															
12/x+8/(x-10)=	5			
LCD =	x*(x-10)							
multiply the equation by the LCD															
we get															
12*(x-10)+8x=	5			
12x-120	+8x=5X^2-50x
70x-120	=5X^2										
5X^2-70	x+120=	0							
							
/	5														
X^2	-14	x	+24	=0
x^2-12x-2x+24=0
x(x-12)-2(x-12)=0
(x-12)(x-2)=0
x=12 OR 2

riding speed = 12 mph
Hiking speed = 2 mph

m.ananth@hotmail.ca