Dead Island Side Quests Walkthrough: Lazarus Rising
The best time to do this quest is after completing Exodus and getting "To Kill Time" from Sinamoi. Completing this quest will get you a car and let you do other side quests such as "Ashes to Ashes" easier.
Talk to Hank who is standing in the Lifeguard station garage near the truck. He will ask you to find spark plugs to fix the car. Accept the quest then head out of the lifeguard station and follow the roads in search for other trucks.
There should be lots of trucks stuck on the road. When you find a truck, make sure all nearby zombies are dead and then get the car parts from it.
After you have gathered 4 car parts return to Hank and give the pieces to him. He will thank you and will tell you that it will take some time for him to fix the car. Go do some other stuff like exploring or taking care of your weapons, then come back to him after a while and the truck should be repaired. He will tell you that the ride is yours whenever you need it.