Question

A small aircraft has a flying speed of 200 km/h in still air.
To make a trip from Saskatoon to Regina, a straight line
distance on the map of 250 km, a pilot must first
determine the wind velocity and then calculate what
direction to fly (the 'heading') to compensate for the
wind. (NOTE: All headings are referenced from the
North, measured positive in the clockwise direction, eg.
East is +90 degrees)
Assume Regina has a heading on the map of 150
degrees from Saskatoon, and that the wind is blowing
steady from North to South. The pilot determines that
the aircraft heading must be 140 degrees in order to
end up in Regina.
a) What is the wind speed?
b) How long will it take to make the trip from Saskatoon
to Regina?