The first time the shuttle fires is at 7:44:35:16 on Friday morning and the next time it fires them is in the wee hours at 2:26:33:07 on Saturday morning. How much time has elapsed between one firing and the next?

7:44:35:16 means hours:minutes:seconds:hundredths of seconds

in terms of Friday time, Sat at 2:26:33:07 = 26:26:33:07

So, just subtract

26:26:33:07
-7:44:35:16

to allow for borrowing, that's the same as

25:85:92:107
-7:44:35:16
---------------
18:41:57:91