This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
6.1 Step 1: Identify the departure time and flight duration. The plane leaves at 09H40. The flight takes 2 hours 10 minutes. Step 2: Add the flight duration to the departure time. Add the hours: 09 + 2 = 11 hours. Add the minutes: 40 + 10 = 50 minutes. The arrival time will be 11H50. The plane will arrive in Cape Town at 11H50. 6.2 Step 1: Convert the flight duration to hours. The flight duration is 2 hours 10 minutes. To convert minutes to hours, divide by 60. 10 minutes = (10)/(60) hours = (1)/(6) hours ≈ 0.1667 hours Total time in hours: Time = 2 + (10)/(60) hours = 2 + (1)/(6) hours = (12)/(6) + (1)/(6) hours = (13)/(6) hours Time ≈ 2.1667 hours Step 2: Identify the distance. The distance from Johannesburg to Cape Town is 1266 km. Step 3: Calculate the speed using the formula Speed = DistanceTime. Speed = 1266 km(13)/(6) hours Speed = (1266 × 6)/(13) km/h Speed = (7596)/(13) km/h Speed ≈ 584.31 km/h The speed at which the plane will be travelling is approximately 584.31 km/h. What's next?