SOLUTION: Train X is 6 mph slower than the speed of train B. Train A travels 230 miles in the same time it takes train B to travel 260miles. Find the speed of each train.

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Question 513871: Train X is 6 mph slower than the speed of train B. Train A travels 230 miles in the same time it takes train B to travel 260miles. Find the speed of each train.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +b+ = the speed of train B
Then +b+-+6+ = the speed of train A
Let +t+ = time for both trains
Train A:
(1) +230+=+%28+b+-+6+%29%2At+
Train B:
(2) +260+=+b%2At+
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(1) +230+=+b%2At+-+6t+
Substitute (2) into (1)
(1) +230+=+260+-+6t+
(1) +6t+=+260+-+230+
(1) +6t+=+30+
(1) +t+=+5+
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From (2)
(2) +b+=+260%2Ft+
(2) +b+=+260%2F5+
(2) +b+=+52+
and
(1) +230+=+%28+b+-+6+%29%2At+
(1) +230+=+%28+b+-+6+%29%2A5+
(1) +b+-+6+=+46+
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Train A travels 46 mi/hr
Train B travels 52 mi/hr