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Zorluk: OrtaAverage Speed

Calculate the required average speed to complete the mission as specified. Enter your numerical answer in the blank.

Cevap:A surveillance aircraft is assigned a 420420-mile mission route. The aircraft completes the first 240240 miles of the route in 33 hours. To achieve an overall average speed of 6060 miles per hour for the entire mission, the aircraft must complete the remaining distance at an average speed of 【45】 miles per hour.

Cevap

45
To find the required speed for the second leg, you must first determine the total time allowed for the trip. Since the total distance is 420420 miles and the target average speed is 6060 mph, the total time must be 77 hours. The first leg took 33 hours, leaving 44 hours for the remainder of the trip. The remaining distance is 180180 miles (420−240420 - 240). Dividing the remaining 180180 miles by the remaining 44 hours gives the required speed of 4545 mph.

Adım Adım Çözüm

1
Calculate the total time allowed for the entire mission.
Total Time = 420 miles÷60 mph=7 hours420 \text{ miles} \div 60 \text{ mph} = 7 \text{ hours}.
Overall average speed requires knowing the total allowable time, which is found by dividing the total distance by the target average speed.
2
Determine the remaining distance to be covered.
Remaining Distance = 420 miles−240 miles=180 miles420 \text{ miles} - 240 \text{ miles} = 180 \text{ miles}.
Subtract the distance traveled during the first leg from the total mission distance.
3
Determine the remaining time available.
Remaining Time = 7 hours−3 hours=4 hours7 \text{ hours} - 3 \text{ hours} = 4 \text{ hours}.
Subtract the time spent on the first leg from the total allowable mission time.
4
Calculate the required average speed for the remaining distance.
Required Speed = 180 miles÷4 hours=45 mph180 \text{ miles} \div 4 \text{ hours} = 45 \text{ mph}.
Speed is calculated by dividing the remaining distance by the remaining time.

Anahtar Kavram

Average Speed
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