SOLUTION: At noon, your family leaves Louisville on a trip to Memphis driving at 40 miles per hour. Your uncle leaves Memphis to come to Louisville 2 hours later. He is taking the same rou

Question 539058: At noon, your family leaves Louisville on a trip to Memphis driving at 40 miles per hour. Your uncle leaves Memphis to come to Louisville 2 hours later. He is taking the same route and is driving 60 miles per hour. The two cities are 380 miles apart. At what time do the cars meet?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
At noon, your family leaves Louisville on a trip to Memphis driving at 40 miles per hour.
Your uncle leaves Memphis to come to Louisville 2 hours later.
He is taking the same route and is driving 60 miles per hour.
The two cities are 380 miles apart. At what time do the cars meet?
:
Let t = your travel time
then
(t-2) = uncle's travel time who left two hours later
:
It helps to know that the sum of the distances of the two cars equal 380 mi
Write a distance equation, dist = speed * time
:
your dist + Unc's dist = 380 miles
40t + 60(t-2) = 380
40t + 60t - 120 = 380
40t + 60t = 380 + 120
100t = 500
t =
t = 5 hrs is your travel time, you left at noon, therefore
you meet at 5 PM
:
:
We can confirm this by finding the distance that each traveled
40(5) = 200 mi
60(3) = 180 mi, (left 2 hrs later)
----------------
total = 380 mi
:
Did this make sense to you now?
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