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Zorluk: OrtaCalculating Rate and Time

A logistics drone is deployed to deliver medical supplies to a remote outpost 105105 miles away. The drone travels at a constant speed of 4242 miles per hour. If the drone departs the base at 07450745 hours, at what time will it arrive at the outpost?

  1. 10151015 hoursCevap
  2. B
    10351035 hours
  3. C
    08090809 hours
  4. D
    08000800 hours

Cevap

The correct arrival time is 10151015 hours.
The drone travels 105105 miles at 4242 miles per hour, which takes 2.52.5 hours (or 22 hours and 3030 minutes). Adding 22 hours and 3030 minutes to the departure time of 07450745 hours results in a final arrival time of 10151015 hours.

Adım Adım Çözüm

1
Calculate the total travel time in hours.
Time=105 miles/42 mph=2.5 hoursTime = 105 \text{ miles} / 42 \text{ mph} = 2.5 \text{ hours}.
The formula for finding time is Time=Distance/RateTime = Distance / Rate.
2
Convert the decimal portion of the time into minutes.
0.5 hours×60 minutes/hour=30 minutes0.5 \text{ hours} \times 60 \text{ minutes/hour} = 30 \text{ minutes}. The total travel time is 22 hours and 3030 minutes.
Clock time requires hours and minutes, not decimal fractions of an hour.
3
Add the travel time to the departure time to find the arrival time.
0745 hours+2 hours and 30 minutes=1015 hours0745 \text{ hours} + 2 \text{ hours and } 30 \text{ minutes} = 1015 \text{ hours}.
Adding 22 hours to 07450745 gives 09450945. Adding 3030 minutes to 09450945 advances the clock past the hour (6060 minutes) to 10151015.

Anahtar Kavram

Calculating elapsed time using the distance formula (t=d/rt = d/r) and converting decimal hours to standard clock time.
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