SOLUTION: A Canadian Goose and Great Blue Heron took off in opposite directions. The goose flew at 20 mph, and the heron flew at 10 mph. When they landed, they were 180 miles apart. Altogeth

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A Canadian Goose and Great Blue Heron took off in opposite directions. The goose flew at 20 mph, and the heron flew at 10 mph. When they landed, they were 180 miles apart. Altogeth      Log On


   

Question 1091928: A Canadian Goose and Great Blue Heron took off in opposite directions. The goose flew at 20 mph, and the heron flew at 10 mph. When they landed, they were 180 miles apart. Altogether, they flew for 14 hours. How long did each bird fly?

Answer by ikleyn(52863) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the time for Canadian Goose (CG), in hours.

Then the time for the Great Blue Heron (GBH) is (14 - x) hours.


The distance equation is 

20*x + 10*(14-x) = 180.


Simplify and solve for x:

20x + 140 - 10x = 180,

20x - 10x = 180 - 140,

10x = 40,

x = 40%2F10 = 4.


Answer.  GC time is 4 hours.   GBH time is 14-4 = 10 hours.

Solved.