SOLUTION: an airplane flew in a direct line from its base at the rate of 300 miles an hour and returned over the same route at the rate of 250miles an hur requiring 15minutes longer in the r

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: an airplane flew in a direct line from its base at the rate of 300 miles an hour and returned over the same route at the rate of 250miles an hur requiring 15minutes longer in the r      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 770114: an airplane flew in a direct line from its base at the rate of 300 miles an hour and returned over the same route at the rate of 250miles an hur requiring 15minutes longer in the return trip.how far from it base did it fly?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +t+ = time in hrs to fly from base
+t+%2B+15%2F60+ = time in hrs for return trip
Let +d+ = distance from base
---------------
(1) +d+=+300t+
(2) +d+=+250%2A%28+t+%2B+.25+%29+
-----------------------
Substitute (1) into (2)
(2) +300t+=+250%2A%28+t+%2B+.25+%29+
(2) +300t+=+250t+%2B+62.5+
(2) +50t+=+62.5+
(2) +t+=+1.25+
--------------
(1) +d+=+300t+
(1) +d+=+300%2A1.25+
(1) +d+=+375+
It flew 375 mi from it's base
check:
(2) +d+=+250%2A%28+t+%2B+.25+%29+
(2) +375+=+250%2A%28+1.25+%2B+.25+%29+
(2) +375+=+250%2A1.5+
(2) +375+=+375+
OK