Time to cover a ground distance.

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To determine how long it will take the Canadian goose to cover a ground distance of 600 km while flying at an adjusted angle of 17.5 degrees to the west of south, the bird's effective speed relative to the ground must first be calculated. Given the wind speed of 30 km/h from west to east, the bird's southward speed needs to be adjusted accordingly. The bird's speed relative to the ground can be found using vector addition, resulting in a speed of approximately 94.87 km/h southward. Finally, to find the time taken to cover 600 km, the formula time = distance/speed can be applied, yielding a travel time of about 6.32 hours. This calculation confirms the bird's ability to navigate effectively despite wind conditions.
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Homework Statement

Canadian geese migrate essentially along a north-south direction for well over a thousand kilometers in some cases, traveling at speeds up to about 100 km/h . If one such bird is flying at 100 km/h relative to the air, but there is a 30.0km/h wind blowing from west to east. At what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground?

I calculated this part, and was correct -- 17.5 degrees to the west of south. My question is part b:

How long will it take the bird to cover a ground distance of 600 km from north to south? (Note: Even on cloudy nights, many birds can navigate using the Earth's magnetic field to fix the north-south direction.) In Hours!



Homework Equations





The Attempt at a Solution

I was able to calculate part A, however I do not know where to go with part B. Thanks!
 
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I should add -- I did the inverse tangent(30/100) in order to figure out the 17.
 
Calculate the bird's speed with respect to the ground.
 

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