US has a similar company with correspondingly similar alliteration, Rent a Wreck (http://www.rentawreck.com/). Despite the name, they seem to rent newer model vehicles at market rates.
Yes, the English term is rent-a-wreck, stemming from the company with the same name[1], founded in the sixties.
Literal translation: rent-a-corpse. You pay about $50 a day, choose your type (van, personal, etc.).
They're mainly used when people move by themselves, have to take stuff to the junkyard and such.
The down-side is, typically, that you can get a lousy car (playground for lemons).
On the plus side, they have a thriving business, and been in business since 1995, so it's not a dead-end idea.