SOLUTION: A motorist travelled a total distance of 432 km and had an average speed of 80km/h on highways and an average speed of 32km/h while passing through towns. If the journey took 6 hou

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Question 799244: A motorist travelled a total distance of 432 km and had an average speed of 80km/h on highways and an average speed of 32km/h while passing through towns. If the journey took 6 hours, find how long the motorist spent travelling on highways.
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
let the distance on highway be x-------------80km/h
distance in town = 432-x--------------------32km/h
time on highway + time in town = 6
t=d/r
x/80 + (432-x)/32 = 6
32x+80(432-x)=6*32*80
32x+34560-80x=15360
-48x=-19200
x=400 km on highways

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