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Zorluk: KolayAverage Speed

A military fighter jet flies a mission in two segments. It travels the first 10001000 miles in 11 hour. Then, it travels an additional 200200 miles in 1515 minutes to reach its destination. What is the average speed of the jet for the entire mission, in miles per hour?

  1. A
    16
  2. B
    75
  3. C
    900
  4. 960Cevap

Cevap

960
The correct average speed is found by dividing the total distance traveled (12001200 miles) by the total flight time in hours (1.251.25 hours). Dividing 12001200 by 1.251.25 yields 960960 miles per hour.

Adım Adım Çözüm

1
Calculate the total distance traveled.
1000 miles+200 miles=1200 miles1000 \text{ miles} + 200 \text{ miles} = 1200 \text{ miles}
To find average speed for an entire trip, you first need the total distance covered.
2
Convert the total time into a single, consistent unit (hours).
1 hour+15 minutes=1 hour+0.25 hours=1.25 hours1 \text{ hour} + 15 \text{ minutes} = 1 \text{ hour} + 0.25 \text{ hours} = 1.25 \text{ hours}
Since the question asks for miles per hour, the time must be expressed entirely in hours before dividing.
3
Calculate the average speed using the total distance and total time.
1200÷1.25=960 mph1200 \div 1.25 = 960 \text{ mph}
The formula for average speed is Total Distance divided by Total Time.

Anahtar Kavram

Average speed is calculated by dividing the total distance traveled by the total time taken. It is not the simple arithmetic mean of different speeds.
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