SOLUTION: Can you help me solve this problem: It takes a passenger train 2 hours less time than it takes a freight train to make the trip from Central City to Clear Creek. The passenger

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Question 131843This question is from textbook Prentice Hall Algebra 1
: Can you help me solve this problem:
It takes a passenger train 2 hours less time than it takes a freight train to make the trip from Central City to Clear Creek. The passenger train averages 96 km/h while the freight train averages 64 km/h. How far is it from Central City to Clear Creek? This question is from textbook Prentice Hall Algebra 1

Answer by TakeATuition.com(57) About Me  (Show Source):
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SOLUTION -
Let the distance be x km
For passenger train:
speed of passenger train=96km/h
therefore time taken by passenger train= distance/speed=x%2F96
For freight train:
speed of freight train=64km/h
therefore time taken by freight train= distance/speed=x%2F64
Now passenger train takes 2 hours less than freight train
therefore
x%2F96=x%2F64-2
%28x%2F96%29-%28x%2F6%29=-2
%282x-3x%29%2F192=-2
-x%2F192=-2
%28-x%2A-192%29%2F192=-2*-192
x = 384
THEREFORE THE DISTANCE IS 384 KM
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