SOLUTION: it takes a passenger train 2 hrs less time than it takes a freight train to make the trip from central city to clear creek.the passenger train avarages 96km/h while the freight tra

Question 118932: it takes a passenger train 2 hrs less time than it takes a freight train to make the trip from central city to clear creek.the passenger train avarages 96km/h while the freight train averages 64km/h.how far is it from central city to clear creek?
Answer by mayank(15) (Show Source): You can put this solution on YOUR website!
suppose freight train takes x hrs to complete the trip
thus the passenger train will take x-2 hrs to complete the trip.
Now as passenter traing avg 96km/hr and freight train averages 64km/hr and as distance travelled by both is same,
96(x-2)=64(x)
thus dividing both sides by 16 gives,
6(x-2)=4x
thus 6x-12=4x
thus 2x=12
thus x=6.
Thus the distance of the trip is 6*64 or 96(6-2) which equals to 384km.

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