SOLUTION: In going a certain distance, a train traveling at the rate of 45.0 mph takes 2.00 hours less than a train traveling 35.0 mph. Find the distance

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Question 962776: In going a certain distance, a train traveling at the rate of 45.0 mph takes 2.00 hours less than a train traveling 35.0 mph. Find the distance
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hrs for the slower train
slower train:
(1) +d+=+35t+
faster train:
(2) +d+=+45%2A%28+t+-+2+%29+
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Set (1) and (2) equal to each other:
+35t+=+45%2A%28+t+-+2+%29+
+35t+=+45t+-+90+
+10t+=+90+
+t+=+9+
+t+-+2+=+7+
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(1) +d+=+35t+
(1) +d+=+35%2A9+
(1) +d+=+315+
the distance is 315 mi
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check:
(2) +d+=+45%2A%28+t+-+2+%29+
(2) +d+=+45%2A7+
(2) +d+=+315+
OK