Acanadian goose and great blue heron took off in opposite directions . the goose flew at 20 mph , and the heron flew 10 mph . when they landed, they were 180 miles apart .altogether , they flew for 14 hours . how long did each bird fly?

The canadian Goose fly 4 hours and the Great Blue Heron fly 10 Hours

Step-by-step explanation:

Lets call, and the velocity, distance and time of fly for the Canadian Goose respectively and   and the velocity, distance and time of fly for the Great Blue Heron respectively.

Additionally, it is necessary to know that:

So, from the question, we know that is equal to 20 mph and is equal to 10 mph.

Them, from the sentence: when they landed, they were 180 miles apart, we can formulate the equation 1 as:

And from the sentence: Altogether, they flew for 14 hours, we can formulate the equation 2 as:

So, replacing from equation 2 on equation 1 and solving for , we get:

Replacing on equation 2, we get:

Finally, is equal to 4 hours and is equal to 10 hours. It means that the canadian Goose fly 4 hours and the Great Blue Heron fly 10 Hours.