The first incident involved two vehicles on the A179 Hart Bypass, on the outskirts of Hartlepool, at around 9.30am on Thursday, June 23.
Two Hartlepool Fire Station crews were at the scene until 11.39am and Cleveland Fire Brigade later said: “Fire brigade removed the roof from a car and extricated one casualty.
"Further walking wounded involved and treated by ambulance at scene.”
Meanwhile, a crew from Hartlepool and a second from Billingham were called to another collision involving two vehicles on the A689 westbound, at Greatham, at 1.18pm on Thursday.
The brigade said: “Fire brigade assisted with two casualties, one of which was transported to hospital by ambulance, and made the scene safe.”
One person was also taken to hospital with injuries following after two engines rushed to assist with a two-vehicle collision in Whitehouse Road, Billingham, on Friday at 11.09am.