猎人带狗追捕,兔子刚跑80步,猎狗去追兔子,已知猎狗跑2步的时间兔子跑3步,猎狗跑4步的距离与兔子跑7步的距离相等。那么猎狗跑多少步可以捕获这只兔子? 
距离80步
2a/x = 3b/y
-> 2ay = 3bx
-> x = 2ay/3b
		4*a = 7*b
->a = 7b/4
		带入x = 2ay/3b
x = 2*7by/12b
x = 7y/6
		 
		b = 4a/7
		
				
(n*a - 80*b)/y = n*a/x
		n*a*x - 80*b*x = n*a*y
n*a*(x-y) = 80*b*x
n = 80*b*x
   ------------
    a*(x-y)
   =  80 *4a/7* 7y/6
   ----------------
   a* (7y/6 - y)
		 = 80*4/7 *7y/6
 ---------------
 1y/6
 = 80*4=320