SOLUTION: The speed of train A is 14mph slower than the speed of train B. Train A travels 190mi in the same time it takes train B to travel 260mi. Finf the speed of each train

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Question 391974: The speed of train A is 14mph slower than the speed of train B. Train A travels 190mi in the same time it takes train B to travel 260mi. Finf the speed of each train
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
For train A:
d%5BA%5D+=+%28r+-+14%29%2At%5BA%5D
For train B:
d%5BB%5D+=+r%2At%5BB%5D
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given:
d%5BA%5D+=+190 mi
d%5BB%5D+=+260 mi
t%5BA%5D+=+t%5BB%5D hr
(since these times are equal, I'll call them both t)
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I'll rewrite the equations:
(1) 190+=+%28r+-+14%29%2At
(2) 260+=+r%2At
This is 2 equations and 2 unknowns, so it's solvable
(1) 190+=+r%2At+-+14t
(2) 260+=+r%2At
Substitute (2) into (1):
(1) 190+=+260+-+14t
14t+=+70
t+=+5 hrs
Plug this back into (2):
260+=+r%2A5
r+=+52 mi/hr
r+-+14+=+38 mi/hr
Train A's speed is 38 mi/hr
Train B's speed is 52 mi/hr