Algebra-2

The following is the step-by-step analysis and solution to this problem:

 

Step 1: Calculate the speed of Car 1

Let the distance traveled by both cars be . If Car 1 can complete the journey in  hours, then the speed of Car 1, denoted as , is given by the formula  (distance divided by time).

 

Step 2: Calculate the combined speed of the two cars

When both cars travel together,  they complete the journey in  hours. So the combined speed of the two cars, denoted as , is

 

Step 3: Calculate the speed of Car 2

Let the speed of Car 2 be . Since the combined speed of the two cars is equal to the sum of their individual speeds, we have the relationship:

 

We know that  and , substituting these into the above equation gives:

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