Question 1102650
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d = rt:  distance equals rate times time<br>
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<br>
In this problem the distances are the same, and the ratio of the speeds of the two trains is 69:46 = 3:2.<br>
That means the ratio of the times required for the trip is 2:3.<br>
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.<br>
So the distance between the two towns is 6*46 = 4*69 = 276km.