SOLUTION: A passenger plane left Paris and flew south at an average speed of 270 km/h. A jet left two hours later and flew in the same direction but with an average speed of 378 km/h. How lo

Question 1009716: A passenger plane left Paris and flew south at an average speed of 270 km/h. A jet left two hours later and flew in the same direction but with an average speed of 378 km/h. How long did the passenger plane fly before the jet caught up?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A passenger plane left Paris and flew south at an average speed of 270 km/h. A jet left two hours later and flew in the same direction but with an average speed of 378 km/h. How long did the passenger plane fly before the jet caught up?
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Pass plane DATA:
rate = 270 km/hr ; time = x hrs ; distance = 270x km
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Jet plane DATA:
rate = 378 km/hr ; time = x-2 hrs ; distance = 378/(x-2) km
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Equation:
dist = dist
270x = 378/(x-2)
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270 x^2 - 540 = 348
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270x^2 = 888
x^2 = 3.289
x = 1.81 hrs = 1hr 48min 36sec
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Cheers,
Stan H.
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