SOLUTION: An airplane flew 3.5 hours with a 60 mph headwind. The return trip with the same speed took 2.5 hours. Find speed of the plane in still air.

Question 626454: An airplane flew 3.5 hours with a 60 mph headwind. The return trip with the same speed took 2.5 hours. Find speed of the plane in still air.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
An airplane flew 3.5 hours with a 60 mph headwind. The return trip with the same speed took 2.5 hours. Find speed of the plane in still air.
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Against-wind DATA:
time = 3.5 hrs ; rate = p - 60 mph ; distance = r*t = 3.5(p-60) miles
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With-wind DATA:
time = 2.5 hrs ; rate = p+60 mph ; distance = r*t = 2.5(p+60) miles
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Equation:
distance = distance
3.5p - 195 = 2.5p + 150
p = 345 mph (speed of the plane in still air)
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Cheers,
Stan H.
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