Formal:
* "I hastened to reassure her that everything would be alright." (Meaning: I quickly tried to reassure her.)
* "The news of the impending storm hastened the evacuation of the coastal town." (Meaning: The news made the evacuation happen more quickly.)
* "The doctor hastened to administer the medication." (Meaning: The doctor acted quickly to give the medication.)
Informal:
* "I hastened to finish my work so I could go to the concert." (Meaning: I worked quickly to finish so I could go to the concert.)
* "He hastened to apologize for his rude behavior." (Meaning: He quickly apologized for his rude behavior.)
* "Let's hasten to get this project finished." (Meaning: Let's work quickly to finish the project.)
Figurative:
* "The discovery of a cure hastened the end of the pandemic." (Meaning: The discovery sped up the end of the pandemic.)
* "The rumors hastened his downfall." (Meaning: The rumors caused his downfall to happen quickly.)
As you can see, "hasten" can be used in a variety of ways to convey the idea of speeding up something or making something happen more quickly.