You are driving from point A(24,96) on a map grid towards point B with a velocity defined by d=(85,-65) km/h

a) state the parametric eqtns of the highway line.

b) how long have you been traveling when you reach a point P 102 km east of where you started at point A?

c) what are the coordinates of your position P at that time?

so this is my work below, I need help with parts b and c.

a) x=24+85t

y=96-65t

b) d=AB

(85,-65)=(x-24)(y-96)

x-24=85

x=109

y-96=-65

y=31

|AB|=sqrt (11450)

(11450)^ (0.5) +102 = 209

d/s=t

209/(-65/85)=273 h

The answer in the back is 55 min

c) P(194,-34)

Their answer is (102, 36.4)

How do I get their answers and what did I do wrong?