SOLUTION: a car left traveling north at 10 am. another car left the house traveling south two hours later. if the cars tracked at the sam rate and were 450 miles apart at 4pm, what was the r

Question 884367: a car left traveling north at 10 am. another car left the house traveling south two hours later. if the cars tracked at the sam rate and were 450 miles apart at 4pm, what was the rate of each car?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the rate of each car in mi/hr
In 2 hrs, the 1st car has traveled

---------------
The 2nd car leaves after 2 hrs, so
10 AM + 2 hrs = 12 AM
From 12 AM to 4 PM is 4 hrs
--------------------------
Let = the distance the 2nd car
travels in 4 hrs
= the distance the 1st has
traveled in 4 hrs
----------------
Equation for the 2nd car:
(1)
Equation for 1st car:
(2)
-------------------
Note that equations are for 12 AM to 4 PM only
Substitute (1) into (2)
(2)
(2)
(2)
The rate of the cars was 45 mi/hr
-------------------------------
check:
(1)
(1)
(1)
----------------
(2)
(2)
(2)
(2)
(2)
(2)
OK

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