Question 565983
driving time = 1/2 hour
driving speed = x

Train time = 1/3 hours
train speed = (x+12)

Distance is same

D=rt

(1/2)x=(1/3)(x+12)

multiply the equation by 6

3x=2(x+12)
3x=2x+24

3x-2x=24
x=24, driving speed

driving speed * time = distance

24*1/2 = 12 miles 

distance from Home to work place = 12 miles