## Wierd trig question

Hi, I'll be glad if anyone could help me with this one:
(A special trigonometry question)
A bus and a cab leave from point a
The cab towards point c, the bus towards b.
they both get there at the same time.
I should mention the points a,b,c create a simple non-even triangle.
After that, they both turn and drive across the line BC and meet at point D.
The cab driver the continues to point B, and then back to A
The bus driver "Cuts" the triangle and goes stright back to A from point D.
The cab driver arrives at point A 43.75 minutes after the bus.
The bus's speed is 56.25% of the cab's.
you need to use trig in order to find the Angle BAC

Be very greatful if anyone helps me out! :-)