<PRE><B>Question 559581</B>
At 1:00 p.m. a car leaves St. Louis for Chicago, traveling at a constant speed of 65 miles per hour.
At 2:00 p.m. a truck leaves Chicago for St. Louis, traveling at a constant speed of 55 miles per hour.
 If it is a 305-mile drive between St. Louis and Chicago, at what time will the car and truck pass each other?
:
Let t = travel time of the truck that leaves at 2 PM
then
(t+1) = travel time of the car which left at 1 PM
:
When the two meet, the distance each traveled will add up to 305 mi
:
Write a distance equation, dist = speed * time
car dist + truck dist = 305 mile
65(t+1) + 55t = 305
65t + 65 + 55t = 305
65t + 55t = 305 - 65
120t = 240
t = 240/120
t = 2 hrs, is the travel time of the truck which left at 2 PM
therefore
 2 PM + 2 hrs = 4 PM they will meet
:
:
We can prove this
Car travel time = 3 hrs
3*65 = 195
2*55 = 110
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total: 305</PRE>