SOLUTION: if it took someone 1/5 hour longer going 50 mph, then the same trip at 60 mph. how many miles did they travel?

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Question 884342: if it took someone 1/5 hour longer going 50 mph, then the same trip at 60 mph. how many miles did they travel?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = miles traveled
Let +t+ = time traveling at 60 mi/hr
At 60 mi/hr:
(1) +d+=+60t+
(2) +d+=+50%2A%28+t+%2B+.2+%29+
----------------------
Substitute (1) into (2)
(2) +60t+=+50%2A%28+t+%2B+.2+%29+
(2) +60t+=+50t+%2B+10+
(2) +10t+=+10+
(2) +t+=+1+
-------------
(1) +d+=+60t+
(1) +d+=+60%2A1+
(1) +d+=+60+
---------------
They traveled 60 mi
check:
(2) +60t+=+50%2A%28+t+%2B+.2+%29+
(2) +60%2A1+=+50%2A%28+1+%2B+.2+%29+
(2) +60+=+50%2A1.2+
(2) +60+=+60+
OK