two planes leave the same airport at 8 a.m. Plane A heads East at 600 mph and Plane B heads West at 450 mph. How far has plane B travelled when they are 1400 miles apart?
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To find the time it takes for the planes to be 1400 miles apart, you can set up a distance formula: 600t + 450t = 1400, where t is the time in hours. Solving for t gives you t = 1.8 hours. In this time, Plane B has traveled 450 mph x 1.8 hours = 810 miles when they are 1400 miles apart.

Since the two planes are moving in opposite directions, their speeds are subtracted to get the relative speed: 600 mph (Plane A) - 450 mph (Plane B) = 150 mph. To find the time it takes for the planes to be 1400 miles apart, you divide the distance by the relative speed: 1400 miles / 150 mph = 9.33 hours. In this time, Plane B has traveled 450 mph x 9.33 hours = 4191.5 miles.

Plane A travels 600 mph heading East, while Plane B travels 450 mph heading West. The speeds are added together to give a combined speed of 1050 mph. To calculate the time it takes for the planes to be 1400 miles apart, you divide the distance by the combined speed: 1400 miles / 1050 mph = 1.33 hours. Therefore, Plane B has traveled 450 mph x 1.33 hours = 598.5 miles when they are 1400 miles apart.