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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-> 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?
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 !