This puzzle is an elimination logic puzzle. You must determine the correct arrangement of the cars, drivers, and passengers by eliminating options that violate one or more of the constraints. All of the names are given, so you should list them all before you start.
Bros Cars Girls
------- ---------- --------
Adam Audi Brenda
Alex BMW Carol
Andy Chevrolet Francine
Blake Ford Linda
Darius Porsche Shirley
David Tesla Susan
Frankie Volkswagen
Jake
Jason
Mack
Matthew
Oliver
Tomas
By the following steps, you can determine who was in which car, the times the cars left at, and the order they arrived.
Considering it's an explicit numbered ordering, it might make sense to order the cars by arrival.
Step 1
By 8, 22, and 23:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1
2
3
4
5
6
7 Tomas - Volks - 5
Step 2
By 4 and 20, with help from 7:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1
2
3
4
5 Tesla Carol 1
6
7 Tomas - Volks - 5
Step 3
By 17 and 19, with help from 7:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1
2
3
4
5 Tesla Carol 1
6 Shirley 6
7 Tomas - Volks - 5
Step 4
By 12:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1
2
3
4 Linda 2
5 Tesla Carol 1
6 Shirley 6
7 Tomas - Volks - 5
Step 5
By 13, the two cars that left at 3 pm arrived one after the other. By 24, the two cars that left at 2 pm are American. By 3, the first car to arrive is a BMW, which isn't American. Thus:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1 BMW 3
2 3
3 2
4 Linda 2
5 Tesla Carol 1
6 Shirley 6
7 Tomas - Volks - 5
Step 6
By 21, Adam, Andy, and Alex are each in different cars that left at 1 or 2 pm. By 2 and 1 respectively, Andy is in the Ford and Adam isn't in the Tesla. Thus, Adam is in the Chevy and Alex is in the Tesla. Thus, by 5, Frankie must be in the car that arrived sixth. This means that Blake-Brenda is the only pair of people that can possibly satisfy 9 (the other option was Frankie-Francine, but Shirley is in the sixth car - whether Frankie is driver or passenger, he can't possibly be dating Francine). Thus, we learn Blake is a passenger:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1 Blake BMW Brenda 3
2 3
3 2
4 Linda 2
5 Tesla Carol 1
6 Shirley 6
7 Tomas - Volks - 5
Step 7
By 13, Jason was in one of the first two cars to leave, and by 11, he's dating someone. Thus, he can only be in the second car along with Susan. This also locks down Matthew's spot beside Shirley:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1 Blake BMW Brenda 3
2 Jason Susan 3
3 2
4 Linda 2
5 Tesla Carol 1
6 Matthew Shirley 6
7 Tomas - Volks - 5
Step 8
By process of elimination to add Francine, then by 13 and 10:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1 Mack Blake BMW Brenda 3
2 Jason Susan 3
3 Jake Francin 2
4 Linda 2
5 Tesla Carol 1
6 Matthew Shirley 6
7 Tomas - Volks - 5
Step 9
By 1, 2, and 21 again, Adam is driving a car that left at 2 pm. Since Jake is driving the car that arrived third, Adam must be driving the car that arrived fourth. As we already know, this is the Chevy. Thus, Andy is the passenger in Jake's Ford:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1 Mack Blake BMW Brenda 3
2 Jason Susan 3
3 Jake Andy Ford Francin 2
4 Adam Chevy Linda 2
5 Tesla Carol 1
6 Matthew Shirley 6
7 Tomas - Volks - 5
Step 10
By 5 and 14, we know Frankie is driving the Porsche. With process of elimination to add the final car:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1 Mack Blake BMW Brenda 3
2 Jason Audi Susan 3
3 Jake Andy Ford Francin 2
4 Adam Chevy Linda 2
5 Tesla Carol 1
6 Frankie Matthew Porsche Shirley 6
7 Tomas - Volks - 5
Step 11
By 6 and 16:
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1 Mack Blake BMW Brenda 3
2 Jason Audi Susan 3
3 Jake Andy Ford Francin 2
4 Adam Oliver Chevy Linda 2
5 David Tesla Carol 1
6 Frankie Matthew Porsche Shirley 6
7 Tomas - Volks - 5
Step 12
Lastly, by 5 again (note that 5 says "arrived in that order", not "arrived one after the other"):
Order Driver Pssnger Car Girl Depart
----- ------- ------- ------- ------- ------
1 Mack Blake BMW Brenda 3
2 Darius Jason Audi Susan 3
3 Jake Andy Ford Francin 2
4 Adam Oliver Chevy Linda 2
5 Alex David Tesla Carol 1
6 Frankie Matthew Porsche Shirley 6
7 Tomas - Volks - 5
15 and 18 don't help other than to provide the remaining names.
Ordering the bros left to right by arrival time (driver, then passenger), and indexing by their departure time (i.e. taking the letter of their name at the position of their departure time), you get the message:
CARSANDLADIES
Doing the same for the cars and ladies, you get:
WEDSORHITCHES
There are a few synonyms for both 'weds' and hitches', but the one that will give you a correct answer is 'marries'. Note that all three words are in the present tense.
MARRIES