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### Two Cars on Crete

```
Date: 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/
```
Associated Topics:
Middle School Algebra
Middle School Word Problems

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