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.

Source: ask Dr Rob(1997)

Distance K to G = x, G to P =y

Speed of Car from K =a and from P =b

y/a=45mins hence a=64km/hr and y=48Km

1) x/b= 20 mins and we know x/a=y/b or 2) xb=51.2Km2/min

from 1) and 2) b=96Km/hr and x=32Km 

Posted by Salil on 2013-10-08 04:01:13