SOLUTION: An airplane travels 1400 miles in the same amount of time it takes a car to travel 210 miles. The car travels at a speed of 340 mph less than the airplane. what is the speed of t

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Question 828265: An airplane travels 1400 miles in the same amount of time it takes a car to travel 210 miles. The car travels at a speed of 340 mph less than the airplane. what is the speed of the plane?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
An airplane travels 1400 miles in the same amount of time it takes a car to travel 210 miles. The car travels at a speed of 340 mph less than the airplane. what is the speed of the plane?
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Car DATA:
distance = 210 miles ; rate = (p-340); time = 210/(p-340) hrs
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Plane DATA:
distance = 1400 miles ; rate = p mph ; time = 1400/p
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Equation:
time = time
210/(p-340) = p
210 = p^2 - 340p
p^2 -340p - 210 = 0
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plane speed = 340.62 mph
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Cheers,
Stan H.
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