The altitude $($i$.$e$.,$ height$)$ of a triangle is increasing at a rate of $\backslash (2\mathrm{.}5\backslash$mathrm$\{$~cm$\}/\backslash )$ minute while the area of the triangle is increasing at a rate of $3$ square $\backslash (\backslash$mathrm$\{$cm$\}/\backslash )$ minute. At what rate is the base of the triangle changing when the altitude is $9\mathrm{.}5$ centimeters and the area is $90$ square centimeters?

The base is changing at cm$/$min$.$