I am 39 yrs old. Is it normal to have sexual urge during work travel with married men?

Probably. In close work relationships, all kinds of emotions may become aroused. Sometimes talk becomes intimate, more than about work issues. Attractions and sexual urges can and do happen in such circumstances. Big difference between urges and carrying them out, though. When very lonely, you might think you don't deserve a relationship with a man who can truly commit to you. Not healthy for you.