设甲速为x,乙速为y,相遇时各走了t小时
2.5x+1.6y = 36
t = 2.5x/y = 1.6y/x
y^2 = (2.5/1.6)x^2
y = 5x/4
2.5x + 1.6(5x/4) = 36
x = 8
y = 5x/4 = 10
甲速为8千米/时,乙速为10千米/时