SOLUTION: It takes a passenger train 2 hr less time than it takes a freight train to make the trip from paradise to boggstown. The passenger train averages 69 km/h, while the freight train a

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Question 1102650: It takes a passenger train 2 hr less time than it takes a freight train to make the trip from paradise to boggstown. The passenger train averages 69 km/h, while the freight train averages 46 km/h. Find the distance from paradise to boggstown.
Found 2 solutions by greenestamps, josgarithmetic:
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


d = rt: distance equals rate times time

If the distances are the same, this is a classic example of inverse variation -- if the ratio of speeds is a:b, then the ratio of times is the opposite ratio, b:a

In this problem the distances are the same, and the ratio of the speeds of the two trains is 69:46 = 3:2.

That means the ratio of the times required for the trip is 2:3.

If the ratio of the two times is 2:3 and the difference between the two times is 2 hours, then the times are 4 hours and 6 hours.

So the distance between the two towns is 6*46 = 4*69 = 276km.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
                  SPEED    TIME    DISTANCE

Passengertrain     69      d%2F69      d

Freighttrain       46      d%2F46      d

Difference                 2


highlight_green%28d%2F46-d%2F69=2%29
-
d%281%2F46-1%2F69%29=2
d%282%2A3%2A23%29%281%2F46-1%2F69%29=2%2A3%2A23%2A2
3d-2d=276
highlight%28d=276%29

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Solution process could be easier if you recognize the simple ratio of the two speeds.