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## Homework Statement

A plane is travelling from City A to City B which is 1000km due NORTH of city A. The plane has a maximum speed of 250km/hr in still air. If a wind is blowing due east at 150km/hr what is the shortest time for the plane to complete the journey A to B (in hours)

a)3.4

b)4.0

c)5.0

d)6.7

e)10.0

## Homework Equations

## The Attempt at a Solution

Ok so i got 3.4 (A) and i got this by constructing the triangle with the hypotenuse being the new resultant speed then using pythagoras. BUT my demononstrator said that 5.0 is the answer and that my triangle is incorrect im really confused as to why can somone please help me clear this up!

cheers!