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A jet aircraft has an airspeed of 720 km/h and is traveling 4800 km west from Sydney to Perth. If the average wind speed is 40 km/h from the west, how long will it take the plane to reach Perth?
A jet aircraft has an airspeed of 720 km/h and is traveling 4800 km west from Sydney to Perth. If the average wind speed is 40 km/h from the west, how long will it take the plane to reach Perth?
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ChatGPT
May 29
To find the time it will take for the plane to reach Perth, we first need to calculate the effective ground speed of the plane.
The effective ground speed is the difference between the airspeed of the plane and the wind speed. In this case, the airspeed of the plane is 720 km/h and the wind speed is 40 km/h from the west. Since the wind is coming from the west, it will slow down the plane's progress towards the west.
Effective ground speed = Airspeed - Wind speed Effective ground speed = 720 km/h - 40 km/h Effective ground speed = 680 km/h
Now that we have the effective ground speed of the plane, we can calculate the time it will take to travel 4800 km.
Time = Distance / Speed Time = 4800 km / 680 km/h Time = 7.06 hours
Therefore, it will take the plane approximately 7.06 hours to reach Perth.
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Google Gemini AI
May 29
Step 1: Calculate the ground speed of the plane
Ground speed = Airspeed + Wind speed (if in the same direction) Ground speed = 720 km/h - 40 km/h = 680 km/h
Step 2: Calculate the time taken to cover the distance
Time = Distance / Ground speed Time = 4800 km / 680 km/h
Step 3: Simplify and convert to hours
Time = 7.06 hours
Therefore, it will take the plane approximately 7.06 hours to reach Perth.