Deadline

Taken from Wikipedia.org:

The player's character in Deadline is an unnamed police detective, summoned to a sprawling Connecticut estate to investigate the apparent suicide of wealthy industrialist Marshall Robner. At first, it seems a very straightforward case: the body was discovered in the library, which had been locked from the inside, and the cause of death was an overdose of his prescribed antidepressants. But something just doesn't feel right. Could someone have killed Robner for his money? Did he make an enemy through his business dealings? Or was there some other motive? With the able assistance of level-headed Sgt. Duffy, the player has twelve hours to solve the case before it is closed forever.

Deadline_(video_game)#Plot