Prephub

Two cities are building bicycle paths.

Charles City has built $5 {~km}$ of bicycle paths by the end of the first month, and the total length of the paths doubles each month.

Tinsel Town has built $21 {~km}$ of bicycle paths by the end of the first month, and the total length of the paths increases by $5 {~km}$ per month.

At the end of which month does the total length of the bicycle paths in Charles City first exceed the length in Tinsel Town?

$4^{\text {th }}$

$5^{\text {th }}$

$6^{\text {th }}$

$7^{\text {th }}$

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