Compute the elapsed time from 6:14 a.m. to 8:02 p.m. on the same day. Express your answer in hours and minutes.

Difficulty: Easy

Correct Answer: 13 h and 48 min

Explanation:


Introduction / Context:
Elapsed-time questions require careful handling of the a.m./p.m. boundary and consistent minute arithmetic. Converting via an intermediate anchor (like 6:14 p.m.) helps avoid mistakes.


Given Data / Assumptions:

  • Start = 06:14 (a.m.), End = 20:02 (p.m.).
  • Same day; standard 24-hour conversion: 20:02 − 06:14.


Concept / Approach:
Option 1: Convert both to minutes since midnight and subtract. Option 2: Step through the p.m. crossover: from 6:14 a.m. to 6:14 p.m. (12 hours), then add from 6:14 p.m. to 8:02 p.m. (1 h 48 min).


Step-by-Step Solution:

12 h from 06:14 a.m. to 06:14 p.m.+ 1 h 48 min from 06:14 p.m. to 08:02 p.m.Total = 13 h 48 min


Verification / Alternative check:
Minutes-since-midnight: 20*60 + 2 = 1202; 6*60 + 14 = 374; 1202 − 374 = 828 min = 13 h 48 min.


Why Other Options Are Wrong:
2:12 and 12:16 do not include the full a.m.-to-p.m. span; 14:16 overcounts by 28 minutes.


Common Pitfalls:
Mixing 12-hour and 24-hour formats or subtracting 14 from 2 across the a.m./p.m. boundary without borrowing minutes properly.


Final Answer:
13 h and 48 min.

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