Question

Difficulty: MediumTime Measurements and Calculations

A cybersecurity team is scheduled to run a continuous diagnostic scan on a network grid. The scan requires exactly 5.45.4 hours to complete. If the team initiates the scan at 22:4522:45, at what time will the scan finish?

  1. 04:0904:09Answer
  2. B
    04:2504:25
  3. C
    03:5103:51
  4. D
    03:4903:49

Answer

The scan will finish at 04:0904:09.
To find the finish time, the total duration of 5.45.4 hours must first be converted into hours and minutes. The 0.40.4 hours is equal to 0.4×60=240.4 \times 60 = 24 minutes, making the total duration 55 hours and 2424 minutes. Starting at 22:4522:45, adding 55 hours crosses midnight (24:0024:00) and lands at 03:4503:45 the next day. Adding the remaining 2424 minutes to 03:4503:45 yields the final time of 04:0904:09.

Step-by-Step Solution

1
Convert the decimal portion of the scan duration into minutes.
0.4 hours×60 minutes/hour=24 minutes0.4 \text{ hours} \times 60 \text{ minutes/hour} = 24 \text{ minutes}. The total duration is 55 hours and 2424 minutes.
Time is measured in base-60, so fractional hours must be multiplied by 60 to find the equivalent minutes.
2
Add the whole hours to the starting time.
22:45+5 hours=27:4522:45 + 5 \text{ hours} = 27:45. Subtracting 2424 hours for the crossover into the next day gives 03:4503:45.
This establishes the hour portion of the finish time on the following day.
3
Add the remaining minutes to the adjusted time.
03:45+24 minutes=04:0903:45 + 24 \text{ minutes} = 04:09.
Adding the 2424 minutes yields the final completion time.

Key Concept

Converting decimal hours to minutes (base-60) and calculating elapsed time across the midnight boundary.
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