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Zorluk: OrtaTime Measurements and Calculations

A heavy construction excavator is operated in two active shifts each day. The morning shift runs for 1.41.4 hours, and the afternoon shift runs for 2.82.8 hours. Between the shifts, the machine is turned off for a 4545-minute maintenance period. What is the total active operating time accumulated by the excavator over a 44-day project, in minutes?

  1. A
    16.816.8
  2. B
    100.8100.8
  3. 1,0081,008Cevap
  4. D
    1,2001,200

Cevap

The total active operating time is 1,0081,008 minutes.
To find the total active time, first add the daily shift lengths: 1.41.4 hours + 2.82.8 hours = 4.24.2 hours per day. Multiply this by 44 days to get a total of 16.816.8 hours. Finally, convert the hours to minutes by multiplying by 6060, yielding 16.8×60=1,00816.8 \times 60 = 1,008 minutes.

Adım Adım Çözüm

1
Calculate the total active operating hours per day.
1.4+2.8=4.21.4 + 2.8 = 4.2 hours.
Add the durations of the morning and afternoon shifts. The 4545-minute maintenance period is excluded because the question asks only for active operating time.
2
Calculate the total operating hours over the entire project.
4.2×4=16.84.2 \times 4 = 16.8 hours.
Multiply the daily operating time by the 44 days of the project to find the overall duration in hours.
3
Convert the total project hours into minutes.
16.8×60=1,00816.8 \times 60 = 1,008 minutes.
Multiply by 6060 to convert the hours into minutes, satisfying the unit requested in the question.

Anahtar Kavram

Converting decimal hours to minutes by multiplying by 60, and differentiating between active and inactive periods.
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Time Measurements and Calculations

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