There are/can be incentives/penalties to complete road construction on time. Although I'm sure it varies with jurisdiction.

https://www.fhwa.dot.gov/construction/contracts/t508010.cfm

https://transweb.sjsu.edu/sites/default/files/2908-highway-t...

Many of the cases that I know of where a performance bonus existed (like $million for every day the estimate is beaten) they finished ahead of schedule and under budget.