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A flight departs at 9:20 PM and arrives at 3:50 AM the next day. If the distance flown was 8,046 km, what was the average speed of the flight in km/h, rounded to the nearest whole number?

Mathematics

ScanSolve AI Answer

Answer

1238 km/h1238 \text{ km/h}

Step-by-step solution

4 steps

3:50 AM (03:50)

  1. Calculate the total travel time.

    Time from 9:20 PM to 12:00 AM (midnight) = 2 hours 40 minutes.
    Time from 12:00 AM to 3:50 AM = 3 hours 50 minutes.
    Total time = (2 hours 40 minutes) + (3 hours 50 minutes) = 5 hours 90 minutes = 6 hours 30 minutes.
    Convert total time to hours: 6 hours+3060 hours=6.5 hours6 \text{ hours} + \frac{30}{60} \text{ hours} = 6.5 \text{ hours}.

  2. Identify the distance.

    The distance is given as 8,0467 km8,0467 \text{ km}. Assuming this is a typo and meant to be 8046 km8046 \text{ km} (as 80467 km80467 \text{ km} would imply an extremely high, non-commercial flight speed).

  3. Calculate the average speed.

    Average Speed=DistanceTime\text{Average Speed} = \frac{\text{Distance}}{\text{Time}} Average Speed=8046 km6.5 h\text{Average Speed} = \frac{8046 \text{ km}}{6.5 \text{ h}} Average Speed≈1237.846 km/h\text{Average Speed} \approx 1237.846 \text{ km/h}
  4. Round to the nearest whole number.

    Average Speed≈1238 km/h\text{Average Speed} \approx \boxed{1238 \text{ km/h}}
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