Is a quarter horse better then an Arab?

This is a matter of opinion. You would have to go out and look at a few horses of each breed, maybe ride them if you can and see what you like better.

And also, you need to decide what you want in a horse. Arabs have great stamina, but Quarter horses are the fastest horses in the world, being clocked at 55 mph, but only over short distances. Also, Arabians are the most popular breed in the world, followed by Quarter horses in second. but, in America, Quarter horses are the most popular. Quarter horses are a more common western mount than Arabians are. And as a general rule, Quarter horses are calmer and more dependable, while Arabians are very high-spirited. HOWEVER, there are exceptions to every rule, and you will find some very excitable Quarter horses and some very calm Arabians.