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Difficulty: EasyTime Measurements and Calculations

A base security system requires a full diagnostic scan that takes exactly 3.43.4 hours to complete. What is the total duration of this diagnostic scan in minutes?

  1. 204204Answer
  2. B
    220220
  3. C
    340340
  4. D
    20402040

Answer

The total duration of the diagnostic scan is 204204 minutes.
To convert decimal hours to minutes, multiply the total number of hours by 6060. Multiplying 3.43.4 by 6060 equals exactly 204204 minutes. Alternatively, this can be calculated by breaking the time into whole and fractional parts: 33 whole hours (3×60=1803 \times 60 = 180 minutes) plus 0.40.4 of an hour (0.4×60=240.4 \times 60 = 24 minutes). Adding these parts together yields 180+24=204180 + 24 = 204 minutes.

Step-by-Step Solution

1
Identify the conversion factor for hours to minutes.
11 hour = 6060 minutes.
Time units operate on a base-60 system for minutes and hours, not base-10.
2
Multiply the given time in hours by the conversion factor.
3.4×60=2043.4 \times 60 = 204 minutes.
This calculation converts the entire decimal value into total minutes.

Key Concept

To convert a time given in decimal hours to minutes, multiply the entire decimal value by 6060. The decimal portion of an hour represents a fraction of 6060 minutes, not a direct number of minutes.
Estimated Time:1m 0s
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Topics

Time Measurements and Calculations

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