SOLUTION: Van leaves traveling at 35mph, when a car traveling at 50mph leaves 45 later, when will the car catch up to the van?

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Question 492779: Van leaves traveling at 35mph, when a car traveling at 50mph leaves 45 later, when will the car catch up to the van?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The key to all of these type of problems is:
How much of a head start did the 1st
(car, boat, train) get? Then start a stopwatch
when the 2nd (car, boat, train) leaves.
Each vehicle has it's own equation.
----------------------------------
How far does the van get in 45 min?


mi
--------------------
Star a stopwatch. They will both travel
for the same amount of time.
Equation for the car:
(1)
Equation for the van:
(2)
-------------------
There are 2 equations and 2 unknowns, so it's solvable
(2)
now, I can say



It will take the car 1 hr and 45 min to catch the van
------------------
check answer:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK

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