
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The graph shows the total distance Sam drove from 8 a.m. to 2 p.m. How many miles per hour is the car's average speed for the period from 8 a.m. to 2 p.m., considering he took a 30-minute break at 11 a.m.?

[asy]
unitsize(0.2inch);
draw((0,0)--(7.5,0));
draw((0,0)--(0,9.5));
draw((1,0)--(1,9.5));
draw((2,0)--(2,9.5));
draw((3,0)--(3,9.5));
draw((4,0)--(4,9.5));
draw((5,0)--(5,9.5));
draw((6,0)--(6,9.5));
draw((0,1)--(7.5,1));
draw((0,9)--(7.5,9));
draw((0,7)--(7.5,7));
draw((0,5)--(7.5,5));
draw((0,3)--(7.5,3));
draw((0,0)--(1,1.5)--(2,3)--(3,5)--(6,9));
dot((0,0));
dot((1,1.5));
dot((2,3));
dot((3,5));
dot((6,9));
label("8",(0,-0.5),S);
label("9",(1,-0.5),S);
label("10",(2,-0.5),S);
label("11",(3,-0.5),S);
label("11:30",(4,-0.5),S);  // Break
label("12:30",(5,-0.5),S);
label("2",(6,-0.5),S);
label("0",(-0.5,0),W);
label("30",(-0.5,1.5),W);
label("60",(-0.5,3),W);
label("100",(-0.5,5),W);
label("180",(-0.5,9),W);
label("Time of Day (a.m./p.m.)",(3.5,-2),S);
label("Total distance",(-0.5,10),N);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
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