This is a great example of a word problem with way too much information. You have to decipher the important info. Since you are asked to discover the hourly rate, you only need to worry about the last example (and the fact that a trip fee is $45).
Let's set it up: (Let H represent the hourly wage)
$303 = (6H) + $45 (Move both dollar amounts on the left side and leave 6H on the right)
$303 - 45 = 6H (Subtract the money on the left)
$258 = 6H (Divide 258 by 6)
$43 = H