Question 738986
pigeon	speed	=x	mph					
wind   	speed	=y	mph					
against  	wind   	8	hours					
with	wind   	6	hours					
								
Distance against 		72	miles	distance with 		72	miles	
t=d/r	against	wind   		-				
72	/	(	x	-	y	)=	8	
8	(	x	-	y	)	=	72	
8	x	-	8	y	=	72	....................1	
								
72	/	(	x	+	y	)=	6	
6	(	x	+	y	)	=	72	
6	x	+	6	y	=	72	...............2	
Multiply (1) by	3    							
Multiply (2) by	4							
we get								
24	x	+	-24	y	=	216		
24	x	+	24	y	=	288		
48	x	=	504					
/	48							
x	=	10.50	mph					
								
plug value of x in (1)				y				
8	x		-8	y	=	72		
84			-8	-84	=	72		
-8	y	=	72					
-8	y	=	-12	mph				
	y	=	1.50					
pigeon	speed	10.50	mph					
wind   	speed	1.50	mph					
								
m.ananth@hotmail.ca