I've commuted, generally, that much and longer. Whether it's "worth it" is subjective. I'd definitely expect an overall increase at least worth one more hour's pay per day, as this makes your "work" one hour longer. So, for example, if you are making $10 per hour now ($80 per day), you'd need to be making at least $90 per 8 hour day, or $11.25 per hour with the new job. I'd also factor in the extra wear and tear on your car, and extra gasoline. I'm assuming that today you drive roughly 20 miles (10 miles each direction) and with the new job, roughly 60. If you get 20 mpg, that's two more gallons of gas. At 30mpg, it's 1.3 more gallons per day.
Will you pay extra for daycare? It might mean, for example, an extra hour per day in daycare.
On the flip side, if this is the first step in a series of promotions that will lead to a significantly higher paying position, you'd need to factor that in as well.
It is not a straightforward calculation.