While the apostrophe is usually for feet, you have that on both the 10 and 5 so I have write that one is incorrect.
For time, that's OK but a writer should avoid them in publishing. As noted at http://www.dailywritingtips.com/prime-marks/
Hello everyone:
I have a question without place to post/ask, please do me a favor to tell me.
For length: 10'5'=10-feet and 5-inch right?
For time: 5'3"=five-minute and three-second right? if yes, is there a sign for hour?
Thanks!

Chowhound
Comic Vine
GameFAQs
GameSpot
Giant Bomb
TechRepublic