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Two sports cars are 675 miles apart and traveling toward each other. The first is going 65 mph and the second is going 85 mph. How many hours will it be -

- before the two cars meet? Write your answer a a decimal.  Please Help!!

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Michael A. | Patient Math and ASVAB Tutor Who Delivers ResultsPatient Math and ASVAB Tutor Who Deliver...
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Let's say the distance traveled by car 1 is x miles. Then, the distance traveled by car 2 is (675 - x) miles. We know that distance =  rate x time. We are given the rates of car 1 and car 2 as 65 mph and 85 mph, respectively. The time, though unknown, is the same for both cars. We can use the variable t to represent this quantity. We now have the following equations for the two cars:
 
x = 65t
 
675 - x = 85t
 
Let's use the Substitution Method to solve this system of equations. We can substitute the value of 65t for every instance of x in the second equation.
 
675 - 65t = 85t
 
675 = 150t
 
t = 4.5
 
It will be 4.5 hours before the two cars meet.