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.
-
A2 h and 12 min
-
B12 h and 16 min
-
C13 h and 48 min
-
D14 h and 16 min
-
ENone of these
Answer
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 minVerification / 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.