SOLUTION: mary began walking home from school, heading south at a rate of 4 mph. Sharon left school at the same time heading north at 6 mph. how long will it take for them to be 3 miles apar

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: mary began walking home from school, heading south at a rate of 4 mph. Sharon left school at the same time heading north at 6 mph. how long will it take for them to be 3 miles apar      Log On


   

Question 509792: mary began walking home from school, heading south at a rate of 4 mph. Sharon left school at the same time heading north at 6 mph. how long will it take for them to be 3 miles apart?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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mary began walking home from school, heading south at a rate of 4 mph.
Sharon left school at the same time heading north at 6 mph.
how long will it take for them to be 3 miles apart?
:
Let t = time (in hrs) for them to be 3 mi apart
:
Write a distance equation; dist = speed*time
4t + 6t = 3
10t = 3
t = 3%2F10
t = .3 hrs (.3*60 = 18 min)
:
:
Check by finding the distance each walked
.3(4) = 1.2 mi
.3(6) = 1.8 mi
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total: 3 mi