Answer:
4 months
Explanation:
Equation for Charles City:
where l is total length and t is time in months.
because the total length doubles every month, except the first month where the original path length was 5km
Equation for Tinsel Town:
because the total length increases by 5km per month and it started at 21 km. The length will not increase for the first month.
At 1 month: CC length = 5 km
TT length = 21 km
At 2 months: CC length = 10 km
TT length = 26 km
At 3 months: CC length = 20 km
TT length = 31 km
At 4 months: CC length = 40 km
TT length = 35 km
So, Charles City's total path length wil bypass that of Tinsel Town in 4 months.