# SOLUTION: A plane leaves Denver heading due north at 500 mph. Simultaneously, another plane leaves Denver traveling due east at 1200 mph. After how many minutes will the planes be 650 mile

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 Click here to see ALL problems on Travel Word Problems Question 154274: A plane leaves Denver heading due north at 500 mph. Simultaneously, another plane leaves Denver traveling due east at 1200 mph. After how many minutes will the planes be 650 miles apart?Answer by stanbon(57410)   (Show Source): You can put this solution on YOUR website!A plane leaves Denver heading due north at 500 mph. Simultaneously, another plane leaves Denver traveling due east at 1200 mph. After how many minutes will the planes be 650 miles apart? ------------------- Draw the picture on a coordinate system; use the y-axis for north and the x-axis for east. --------------------------- Let the time in hours be "x" for both planes North distance = 500x miles East distance = 1200x miles ------------------------------- Use Pytagoras with a hypotenuse of 650 miles. EQUATION: (500x)^2 + (1200x)^2 = 650^2 250000x^2 + 1440000x^2 = 650^2 1690000x^2 = 650^2 x^2 = 0.25 x = 0.5 hours ------------------ Time = 30 minutes ======================== Cheers, Stan H.