SOLUTION: IT TAKES A PASSENGER TRAIN 2HOURS LESS TIME THAN IT TAKES A FREIGHT TRAIN TO MAKE THE TRIP FROM CENTRAL CITY TO CLEAR CREEK. THE PASSENGER TRAIN AVERAGES 96KM/H WHILE THE FREIGHT

Question 185138: IT TAKES A PASSENGER TRAIN 2HOURS LESS TIME THAN IT TAKES A FREIGHT TRAIN TO MAKE THE TRIP FROM CENTRAL CITY TO CLEAR CREEK.
THE PASSENGER TRAIN AVERAGES 96KM/H WHILE THE FREIGHT TRAIN AVERAGES 64KM/H
HOW FAR IS IT FROM CENTRAL CITY TO CLEAR CREEK?
Answer by J2R2R(94) (Show Source): You can put this solution on YOUR website!
The average speed of the passenger train to the freight train is in the ratio 3:2 which means the times taken by the trains is in the ratio 2:3 since the distance is the same. (Distance = Speed times Time).

2:3 differs by 1, 4:6 is the same ratio but differs by 2.

In order to make the times in the ratio 2:3 differ by 2 hours the times taken must be 4 hours and 6 hours.

Therefore the distance from Central City to Clear Creek is 4 hours x 96 km/h for the passenger train = 6 hours x 64 km/h for the freight train = 384 km.
RELATED QUESTIONS
It takes a passenger train 2 hours less time than it takes a freight train to make a trip (answered by Paul)

Can you help me solve this problem: It takes a passenger train 2 hours less time than... (answered by TakeATuition.com)

it takes a passenger train 2 hrs less time than it takes a freight train to make the trip (answered by mayank)

It takes a passenger train 2 hours less time than it take a freight train to make the... (answered by jonvaliente)

it takes a passanger train 2 hous less time than it takes a freight train to make the... (answered by Abbey)

It takes a passenger train 3 hr less time than it takes a freight train to make the trip... (answered by lwsshak3)

It takes a passenger train 5 hr less time than it takes a freight train to make the trip... (answered by Fombitz)

it takes a passenger train 5 hr less time than it takes a freight train to make the trip... (answered by John10,mananth)

It takes a passenger train 2 hr less time than it takes a freight train to make the trip... (answered by greenestamps,josgarithmetic)