SOLUTION: Two trains leave towns 1692km apart at the same time and travel toward each other. One train travels 20km/hfaster than the other. If they meet in 6 hours, what is the rate of eac

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Question 1109695: Two trains leave towns 1692km apart at the same time and travel toward each other. One train travels 20km/hfaster than the other. If they meet in
6 hours, what is the rate of each train?



Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.
Let  "r"  be the rate of the slower train, in km/h/

Then the rate of the faster train is (r+20) km/h.


The "total distance equation" is


6r + 6*(r+20) = 1692    kilometers


6r + 6r + 120 = 1692

12r = 1692 - 120 = 1572  ====>  r =  = 131.



Answer.  The slower train speed is 131 km/h.  The faster train speed is 131+20 = 151 km/h.

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To see othes similar solved problems, see the introductory lessons on Travel and Distance
    - Travel and Distance problems
    - Travel and Distance problems for two bodies moving in opposite directions
    - Travel and Distance problems for two bodies moving in the same direction (catching up)
in this site.


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