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Zorluk: OrtaRound Trips

A cargo aircraft flies from a logistics hub to a regional airport, a one-way distance of 360360 miles. The aircraft makes the outbound journey at an average speed of 180180 mph. On the return trip along the exact same route, carrying a heavier load, it travels at an average speed of 120120 mph. What is the aircraft's average speed for the entire round trip?

  1. A
    7272 mph
  2. 144144 mphCevap
  3. C
    150150 mph
  4. D
    300300 mph

Cevap

The correct average speed for the entire round trip is 144144 mph.
The correct average speed is found by dividing the total round-trip distance by the total round-trip time. The total distance is 720720 miles (360360 outbound +360+ 360 return). The outbound flight takes 22 hours (360÷180360 \div 180) and the return flight takes 33 hours (360÷120360 \div 120), resulting in a total time of 55 hours. Dividing 720720 miles by 55 hours gives an average speed of 144144 mph.

Adım Adım Çözüm

1
Calculate the time taken for the outbound journey.
360360 miles ÷180\div 180 mph =2= 2 hours.
Time equals distance divided by speed.
2
Calculate the time taken for the return journey.
360360 miles ÷120\div 120 mph =3= 3 hours.
The return distance is the same, but the return speed is different.
3
Determine the total distance and total time for the entire round trip.
Total distance =360+360=720= 360 + 360 = 720 miles. Total time =2+3=5= 2 + 3 = 5 hours.
Average speed for a multi-leg journey requires the overall totals, not just the averages of each leg.
4
Calculate the overall average speed.
720720 miles ÷5\div 5 hours =144= 144 mph.
Average speed is equal to the total distance divided by the total time.

Anahtar Kavram

Average Speed in Round Trips
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Round Trips

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