It's 5:10 per duty period, not day. That 24 hours you spend in the hotel, isn't a duty period.

Here is the relevant section from the contract.

F. TimeAwayFromBase
1. A pilot who reports for any flight duty (including deadheading) which involves two (2) or more on duty periods broken by at least one (1) off duty period away from such pilot's base, shall receive the greater of the following:
a. one (1) minute pay and flight time credit for each three and one-half (3-1/2) minutes of scheduled or rescheduled time away from such pilot's base;
b. one (1) minute pay and flight time credit for each three and one- half (3-1/2) minutes of actual time away from such pilot's base.
The difference between flight time pay and flight time credit earned during such period of time away from base and the minimum flight time pay and flight time credit provided above shall be computed as an extension of the trip which brings the pilot back to the pilot's base for legal rest.
2. For purposes of paragraphs F.1. and G. of this Section, on duty periods and off duty periods shall be as set forth in paragraph C.5. of this Section.
G. Duty Period - Average and Minimum
A pilot who reports for any flight duty (including deadheading) shall receive a minimum of five hours and ten minutes (5:10) flight time pay and flight time credit multiplied by the number of duty periods contained in such pilot's trip sequence, provided however, that a pilot who performs two (2) or more on duty periods broken by at least one (1) off duty period away from such pilot's base shall receive, for each duty period provided in E.1. above, a minimum of three (3) hours flight time pay and flight time credit.


Here is an example of the lovely "slash" trips in question.

SKD 77 484 DFW 1435 CLT 1805 2.30 2.06
SKD 77 619 CLT 2011 D SFO 2300 5.49
D/P SKD 8.19 P/C 0.00 TL 8.19
HALF DAY COUNT SFO 4
SKD ONDUTY 11.40 ODL 24.35
FDPT 11.25 START 1335 END 0100 ACC STA DFW
SKD 77 464 SFO 0050 M DFW 0609 3.19
D/P SKD 3.19 P/C 0.01F TL 3.20
SKD ONDUTY 4.34
FDPT 4.19 START 0150 END 0609 ACC STA DFW
SEQ SKD 11.38 P/C 0.01 TL 11.39 TAFB 40.49