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What is the time difference between 7:24 a.m. and 9:38 p.m. on the same day?

A. 14 hours and 14 minutes
B. 2 hours and 14 minutes
C. 2 hours and 2 minutes
D. 15 hours and 2 minutes

Answer :

To find the time difference between 7:24 a.m. and 9:38 p.m. on the same day, we can follow these steps:

1. Convert the Start Time to Minutes:
- The start time is 7:24 a.m.
- First, convert the hours into minutes: [tex]\(7 \times 60 = 420\)[/tex] minutes.
- Add the 24 minutes: [tex]\(420 + 24 = 444\)[/tex] minutes.

2. Convert the End Time to Minutes:
- The end time is 9:38 p.m.
- In a 24-hour format, 9 p.m. is 21 hours.
- Convert the hours into minutes: [tex]\(21 \times 60 = 1260\)[/tex] minutes.
- Add the 38 minutes: [tex]\(1260 + 38 = 1298\)[/tex] minutes.

3. Calculate the Time Difference:
- Subtract the total minutes at the start time from the total minutes at the end time: [tex]\(1298 - 444 = 854\)[/tex] minutes.

4. Convert the Minutes Back to Hours and Minutes:
- Calculate the number of hours: [tex]\(854 \div 60 = 14\)[/tex] hours.
- Find the remaining minutes: [tex]\(854 \mod 60 = 14\)[/tex] minutes.

Therefore, the time difference between 7:24 a.m. and 9:38 p.m. is 14 hours and 14 minutes.

The correct option is OA. 14 hours and 14 minutes.

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