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## Homework Statement

A plane flies a square route with each side 1500m in length (north, west, south then east) If a wind was blowing from the east at 20 km/h the entire trip, find the total time it will take for the plane to complete the journey, given that the plane is flying at 80 km/h

## Homework Equations

t = d/v

vog = vom + vmg? (except this is in the air)

## The Attempt at a Solution

since its a square, i figure the relative velocity of all directions will be the same.

i used pythagorean theorem to find the velocity of the plane when it is affected by the wind. i got 82.46 km/h. then i used the formula t = d/v.

i used 1500m x 4 (because there are 4 routes in the square). converted this to 6 km.

then divided it by the relative velocity (82.46 km/h)

this worked out to be around 262 seconds.

the answer is supposed to be 280 seconds.

what did i do wrong?