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