Two Cars on CreteDate: 08/30/97 at 00:50:08 From: windows Subject: Two cars Two cars on Crete left towns of Knossos and Phaistos at the same time to drive to the other town, passing each other at Gortyns and both travelling at different steady speeds. The car from Knossos completed the journey from Gortyns to Phaistos in 45 minutes at a steady speed of 64 km/h. The car from Phaistos completed the journey from Gortyns to Knossos in 20 minutes. Find the speed of the car from Phaistos. Date: 09/03/97 at 10:47:03 From: Doctor Rob Subject: Re: Two cars Let P be the speed of the car from Phaistos. Let D be the distance from Knossos to Phaistos. The distance from Phaistos to Gortyns is 64*45/60 = 48 km. The distance from Gortyns to Knossos is x - 48 km. Since the cars passed each other in Gortyns, each of them travelled for the same length of time, so 48/P = (x-48)/64, which gives us one equation. The distance from Gortyns to Knossos is x - 48 = P*20/60, which gives us a second equation. Solve them for P. -Doctor Rob, The Math Forum Check out our web site! http://mathforum.org/dr.math/ |
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