Answer
16 m/s due north
Work Step by Step
Let due north be the positive direction
Let T = total time
$x_{n}$
= $v_{n}$$t_{n}$
= (27)($\frac{3}{4}$T)
= $\frac{81}{4}$T m
$x_{s}$
= $v_{s}$$t_{s}$
= (-17)($\frac{1}{4}$T)
= -$\frac{17}{4}$T m
Average velocity
= displacement / time
= ($\frac{81}{4}$T - $\frac{17}{4}$T) / T
= +16 m/s
16 m/s due north