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?
:
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 = {{{500/100}}}
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)
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total = 380 mi
:
Did this make sense to you now?