SOLUTION: A person travels to a destination at a rate of fifty mph and returns the next day at a rate of forty mph. If the time returning is one hour more than the time going, how many miles

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Question 972461: A person travels to a destination at a rate of fifty mph and returns the next day at a rate of forty mph. If the time returning is one hour more than the time going, how many miles are traveled in all?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hrs going
+t+%2B+1+ = time in hrs returning
+d+ = one-way distance traveled
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Going:
(1) +d+=+50t+
Returning:
(2) +d+=+40%2A%28+t+%2B+1+%29+|
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Substitute (1) into (2)
(2) +50t+=+40t+%2B+40+
(2) +10t+=+40+
(2) +t+=+4+
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(1) +d+=+50%2A4+
(1) +d+=+200+
and
(2) +d+=+40%2A%28+4+%2B+1+%29+
(2) +d+=+40%2A5+
(2) +d+=+200+
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The person traveled
+2d+=+2%2A200+
+2d+=+400+
400 mi total