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$5.$ For a specific project, we need to convert a direct$-$runoff hydrograph into a $3-$hr Unit Hydrograph. The total storm duration is $5hr.$ The rainfall hyetograph is provided below, and infiltration loss is equal to $1i\frac{n}{h}r.$ Additionally, the base flow is $100cfs.$ Please find the $Tp($Time to peak$),Tb($Time base$)$ for the storm, and plot the UH $(20P)$

$\backslash$table$[[$Time$($hr$),$Q$($cfs$),,],[0,100,,],[1,100,,],[2,200,,],[3,300,,],[4,500,,],[5,700,,],[6,1000,,],[7,700,,],[8,500,,],[9,400,,],[10,200,,],[11,100,,],[12,100,,],[,,,]]$