Who said anything about getting there faster? What if you are stuck in traffic and need to know if you will be on time or late? What if you see a fuel station and want to know if you have enough time to top up your tank? There are actually quite a few valid reasons that you need to know the time while travelling in a vehicle
If you’re stuck in traffic and you know you are goung to be late, you can phone ahead to let them know! This won’t be possible without knowing the current time, something which a reasonably accurate timepiece will inform you of
But I don't need to know the time when I'm going somewhere. I need to know the time before I set off, so I set off at the right time, and then I get there at the right time.
Okay, have you ever visited Earth before? Space and time are both surprisingly linear here.
If I want to be somewhere 250 miles away, I know it takes about six hours to drive there. So, in order to get there in time, I leave maybe six and a half hours before I need to be there. If I know the road is going to be busy - quite often where I live there are a lot of tourists doing 30mph with no idea there's anyone else on the road - I'll give it even more time.