SOLUTION: The table below represents Bree’s trip from her home to the library and back. On her way to the library, she travels at 6 miles per hour. On her way home, she travels at 12 miles p

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Question 1098303: The table below represents Bree’s trip from her home to the library and back. On her way to the library, she travels at 6 miles per hour. On her way home, she travels at 12 miles per hour. The total time is 2 hours. Which equation can be used to find the distance from Bree’s house to the library?
Found 2 solutions by Alan3354, ikleyn:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
You should concern yourself with how to solve the problems.
Not with "what equation?"
Answer by ikleyn(52767)   (Show Source): You can put this solution on YOUR website!
.
Let D be that "one way" distance, in miles.

The time spent on the way to the library is  hours.

The time spent on the way back is  hours.


The equation for the total time spent is

 +  = 2   hours.      //  This equation is the DIRECT translation of the condition (!)


To solve it, multiply both sides by 12. You will get

2D + D = 2*12  ====>  3D = 24  ====>  D  =  = 8.


Answer.  One way distance is 8 miles.

Check.   Time "to there"" =  =  hours.

         Time back        =  =  hours

                             +  =  = 2 hours.    ! Correct !

Solved.



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