I'm looking to distribute the space between the links evenly, so each take up 1/3 of the space of the containing div. The whole reason they are within this div is because I want to line it up with the banner, and I'm unsure how to it otherwise.
Here is a fiddle: https://jsfiddle.net/yuy84gmq/13/
.bruceBanner img {
  border: 2px solid black;
  height: 172px;
  width: 553px;
  display: block;
  margin: 0 auto;
}
.navLinks li {
  border: 1px solid black;
  display: inline;
  font-size: 25px;
}
#navBar {
  border: 1px solid black;
  width: 553px;
  margin: 0 auto;
}
<div class="bruceBanner">
  <a href="#">
    <img border="0" alt="XYZ Banner" src="http://bit.ly/1QSpdbq" width="553" height="172">
  </a>
</div>
<nav id="navBar">
  <ul class="navLinks">
    <li><a href='#'>About</a>
    </li>
    <li><a href='#'>Hours</a>
    </li>
    <li><a href='#'>Contact</a>
    </li>
  </ul>
</nav>
<!--#navBar-->