SOLUTION: A plane ride to Johns house took 5 hours. On the return trip, a wind gust of 125 mi/he decreased the flying time by 1.25 hrs. What was the speed of the plane on the return trip?

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Question 1096053: A plane ride to Johns house took 5 hours. On the return trip, a wind gust of 125 mi/he decreased the flying time by 1.25 hrs. What was the speed of the plane on the return trip?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +d+ = the one-way distance
Let +s+ = the speed to his house
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For the trip to his house:
(1) +d+=+s%2A5+
For return trip:
(2) +d+=+%28+s+%2B+125+%29%2A%28+5+-+1.25+%29+
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(2) +d+=+%28+s+%2B+125+%29%2A3.75+
(2) +d+=+3.75s+%2B+468.75+
and
(1) +d+=+5s+
Plug (1) into (2)
(2) +5s+=+3.75s+%2B+468.75+
(2) +1.25s+=+468.75+
(2) +s+=+375+
and
+s+%2B+125+=+375+%2B+125+
+s+%2B+125+=+500+
The speed on the return trip was 500 mi/hr
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check:
(1) +d+=+5%2A375+
(1) +d+=+1875+ mi
and
(2) +d+=+%28+s+%2B+125+%29%2A%28+5+-+1.25+%29+
(2) +d+=+500%2A3.75+
(2) +d+=+1875+ mi
OK