Same control city for two different directions

[JMoses24]

Richmond for I-64 when it curves around to its end in Chesapeake.

I can find no instance where it's signed that way, though as pointed out, it's possible to do, yes.

[mrsman]

West Memphis, AR:

https://maps.google.com/maps?hl=en&ll=35.156056,-90.152586&spn=0.005061,0.010568&t=h&z=17&layer=c&cbll=35.156016,-90.152484&panoid=1yxA_4l6jCER-hj57-5vOw&cbp=12,113.12,,1,-6.26

This is perfect.  It shows that both roads do lead to the same city, but it also shows that there's a difference.  If you want to go beyond Memphis, take I-40 to Nashville and take I-55 to Jackson, MS.  Of course, I'm hoping there is some indication on some sign that I-40 is the better route to Downtown Memphis.