SOLUTION: Elvira made a trip on Tuesday, and David made the same trip on Wednesday. Elvira traveled at 14 mph. David traveled at 21 mph, so his time was 3 hours less than Elvira's time. H

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Question 388069: Elvira made a trip on Tuesday, and David made the same trip on Wednesday. Elvira traveled at 14 mph. David traveled at 21 mph, so his time was 3 hours less than Elvira's time. How far did they travel?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Let x and (x-3) represent Elvira's and David's times respectively

D = r*t  

Distances traveled are equal in this example***

 14mph*x = 21mph(x-3)

solving for x

 14x = 21x - 63

  63 = 7x

x = 9hr, the time that Elvira traveled.  David traveled 6hrs   (9hr-3hr = 6hr)



CHECKING our Answer***

 14mph*9hr = 126mi = 21mph*6hr = 126mi