A plane leaves the Newberry airport, traveling due north at a rate of 900 kilometers per hour. At the same time, another plane departs from the same airport and travels due south at a rate of 1,200 kilometers per hour. In how long will the planes be 600 kilometers apart? If necessary, round your answer to the nearest minute. ____ hours and ____ minutes

Question

A plane leaves the Newberry airport, traveling due north at a rate of 900 kilometers per hour. At the same time, another plane departs from the same airport and travels due south at a rate of 1,200 kilometers per hour. In how long will the planes be 600 kilometers apart? If necessary, round your answer to the nearest minute.   ____ hours and ____ minutes

Bytelearn · Accepted Answer

Calculate Combined Speed: We have: Speed of the first plane: 900 kilometers per hour Speed of the second plane: 1,200 kilometers per hour Find the combined speed of the two planes. Speed of the first plane + Speed of the second plane = Combined speed 900 + 1,200 = 2,100 Combined speed: 2,100 kilometers per hourFind Time Taken: Combined speed: 2,100 kilometers per hour Identify the time taken by the two planes to be 600 kilometers apart. Round your answer to the nearest thousandth. Time = Distance / Combined speed = 600 / 2,100 ≈ 0.2857 hoursIdentify Hours and Minutes: Time taken: 0.2857 hours Identify the number of hours and minutes. Round your answer to the nearest minute. In 0.2857, the number of hours is 0. 0.2857 × 60 = 17.142 ≈ 17 minutes So, it will be 0 hours and 17 minutes before the planes are 600 kilometers apart.

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