Elapsed time — From 6:14 a.m. to 8:02 p.m. on the same day, how many hours and minutes elapse?

Difficulty: Easy

2 h 12 min
12 h 16 min
13 h 48 min
14 h 16 min
None of these

Correct Answer: 13 h 48 min

Explanation:

Introduction / Context:
Time-elapsed questions require careful handling across a.m./p.m. boundaries. We break the interval into two parts: morning to noon, then noon to evening, and add the results.

Given Data / Assumptions:

Start: 6:14 a.m.
End: 8:02 p.m. (20:02 in 24-hour time).
Same calendar day.

Concept / Approach:
Compute the difference piecewise: from 6:14 to 12:00 (noon), then from 12:00 to 20:02. Sum hours and minutes at the end, regrouping minutes if needed.

Step-by-Step Solution:

6:14 → 12:00 = 5 hours 46 minutes.12:00 → 20:02 = 8 hours 2 minutes.Total = (5 h + 8 h) and (46 min + 2 min) = 13 h 48 min.

Verification / Alternative check:

Convert to minutes: 6:14 = 374 min after midnight; 20:02 = 1202 min. Difference = 828 min = 13 × 60 + 48.

Why Other Options Are Wrong:

12 h 16 min / 14 h 16 min result from miscounting noon boundary; 2 h 12 min is clearly too small.

Common Pitfalls:

Forgetting that p.m. adds 12 hours to the 12-hour clock value (except for 12 p.m.).Arithmetic mistakes when adding minutes around the noon split.

Elapsed time — From 6:14 a.m. to 8:02 p.m. on the same day, how many hours and minutes elapse?

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