Three pipes are connected in parallel; their characteristics are as follows:

$\backslash$table$[[$Pipe ID$,$Diameter $($in$),$Length $($ft$),$Resistance coefficient $($f$)],[1,6,7,000,0\mathrm{.}024],[2,8,8,500,0\mathrm{.}022],[3,12,12,00,0\mathrm{.}022]]$

Determine the discharge $($in gpm$)$ for each pipe if the total discharge in $1,200$ gpm$.$