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 travel time is 2 hours. Which equation can be used to find the distance in miles from Bree's house to the library?​

Respuesta :

The distance in miles from Bree's house to the library is 8 miles.

Step-by-step explanation:

Time to the library from home is d/6 hours

Time spend to reach home from library is d/12 hours

Hence, the equation can be written as:

d/6 +d/12 = 2 hours ( 2 hours is the total time spend to and fro)

Solving the equation:

2d+d= 24 => 3d=24

Now d is d=24/3 =8

Hence the distance from the home to the library is 8 miles.

The distance in miles from the house to the library is 8 miles.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Time to the library from home is d/6 hours

The time spend to reach home from the library is d/12 hours

Hence, the equation is;

d/6 +d/12 = 2 hours

Solving the equation:

2d+d= 24

3d=24

d=24/3 =8

Hence, the distance from the home to the library is 8 miles.

Learn more about equations here;

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