SOLUTION: Sizwe drives from A to B and takes 60 minutes. Thabo drives from B to A and takes 90 minutes. They both start at 10:00 and drive at constant speeds. At what time do they pass eac

Algebra ->  Equations -> SOLUTION: Sizwe drives from A to B and takes 60 minutes. Thabo drives from B to A and takes 90 minutes. They both start at 10:00 and drive at constant speeds. At what time do they pass eac      Log On


   



Question 1180199: Sizwe drives from A to B and takes 60 minutes. Thabo drives from B to A and takes 90
minutes. They both start at 10:00 and drive at constant speeds. At what time do they pass
each other?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
each minute, S goes (1/60) of the way and T goes 1/90 of the way.
How long does it take for their sum to be 1?
(x/60)+(x/90) =1, where x is the number of minutes.
multiply by 180 both sides
3x+2x=180=5x
x=36 minutes
so S has gone 60% of the way and T has gone 40% of the way.