Four intersections $($Intersection A$,$ B$,$ C and D$)$ are on a same oneway road. All the intersection has pretimed signals and Table $2$ has all the relevant details like effective red and green time, offsets, distances between intersections, etc. Given that the speed of stream is $30k\frac{m}{h}r,$ determine the width $($if any$)$ of the through bands. Further evaluate the maximum through band width that could results by modifying the offsets. $(5+5)$

$\backslash$table$[[$Intersection$,\backslash$table$[[$Distance from$],[$previous$],[$intersection $($m$)]],$Green time $($s$),$Red time$($s$),\backslash$table$[[$Amber time$],[($s$)]],\backslash$table$[[$Offset from A$],[($s$)]]],[$A$,0,40,15,5,0],[$B$,440,35,20,5,5],[$C$,440,35,20,5,5],[$D$,880,40,15,5,40]]$