SOLUTION: At noon, your family starts out from Louisville to go to Memphis driving at 40 mi/h. Your uncle leaves Memphis to come to Louisville two hours later. He is taking the same route an

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: At noon, your family starts out from Louisville to go to Memphis driving at 40 mi/h. Your uncle leaves Memphis to come to Louisville two hours later. He is taking the same route an      Log On


   



Question 328123: At noon, your family starts out from Louisville to go to Memphis driving at 40 mi/h. Your uncle leaves Memphis to come to Louisville two hours later. He is taking the same route and driving at 60 mi/h. The two cities are 380 miles apart. At what time do the cars meet?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Rate*Time=Distance.
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When your uncle leaves, you are already 80 miles away.
Your distance,
D1=80%2B40%2At
Your uncle's distance
D2=60%2At
Find t when D1=D2
80%2B40t=60t
20t=80
t=4hrs
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The only check to do is to check how long it would take you to get to Memphis.
to ensure that you haven't already arrived in Memphis.
t=D%2FR=380%2F40=9.5 hrs
Since 4%3C9.5, you are still on the road to Memphis when you uncle catches up.