SOLUTION: A truck traveling at a constant rate of 45 mph leaves ALbany. One hour later a car traveling at a constant rate of 60 mph also leaves Albany traveling in the same direction on the

Question 519766: A truck traveling at a constant rate of 45 mph leaves ALbany. One hour later a car traveling at a constant rate of 60 mph also leaves Albany traveling in the same direction on the same highway. How long will it take for the car to catch up to the truck, if both vehicles continue in the same direction on the highway?
Answer by oberobic(2304) (Show Source): You can put this solution on YOUR website!
d = r*t is the basic distance equation
.
When the car overtakes the truck, they will have traveled the same distance.
But the car will have been traveling for 1 fewer hour.
.
Truck:
d = 45*t
.
Car:
d = 60*(t-1)
.
d=d
.
45t = 60(t-1)
.
45t = 60t -60
-15t = -60
t = 4
.
Answer: In 4 hr the car will overtake the truck.
.
Check the distances each travels.
4*45 = 180
3*60 = 180
.
Done.
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