SOLUTION: On average a canada goose can fly 10 mph faster than a great blue heron. Find their flying speeds if a goose can fly 120 miles in the same time it takes a heron to fly 80 miles.

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Question 224306: On average a canada goose can fly 10 mph faster than a great blue heron. Find their flying speeds if a goose can fly 120 miles in the same time it takes a heron to fly 80 miles.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Let x= speed of great blue heron
x+10 = speed of Canada goose

t=D%2Fr

Time of heron = Time of goose
80%2Fx=120%2F%28x%2B10%29+

If a%2Fb=c%2Fd, then ad=bc
If 80%2Fx=120%2F%28x%2B10%29, then 80%28x%2B10%29=120x

80x+800=120x
800=40x
x=20 mph for the great blue heron
x+10= 30 mph for the Canadian goose

Check: 120/30= 4 hours Canadian goose
80/20 = 4 hours great blue heron.
It checks!!

R^2

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus