
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 6 a.m. to 12 p.m. How many miles per hour is the car's average speed for the period from 6 a.m. to 12 p.m. if Sam stopped for a break of 1 hour at 9 a.m. during which he didn't travel any distance?

[asy]
unitsize(0.2inch);
draw((0,0)--(6.5,0));
draw((0,0)--(0,10.5));
draw((1,0)--(1,10.5));
draw((2,0)--(2,10.5));
draw((3,0)--(3,10.5));
draw((4,0)--(4,10.5));
draw((5,0)--(5,10.5));
draw((6,0)--(6,10.5));
draw((0,1)--(6.5,1));
draw((0,10)--(6.5,10));
draw((0,8)--(6.5,8));
draw((0,6)--(6.5,6));
draw((0,4)--(6.5,4));
draw((0,2)--(6.5,2));
draw((0,0)--(1,2)--(2,3)--(3,5)--(4,5)--(5,7)--(6,10));
dot((0,0));
dot((1,2));
dot((2,3));
dot((3,5));
dot((4,5));  // Stop point, no change in distance.
dot((5,7));
dot((6,10));
label("6",(0,-0.5),S);
label("7",(1,-0.5),S);
label("8",(2,-0.5),S);
label("9",(3,-0.5),S);
label("10",(4,-0.5),S);
label("11",(5,-0.5),S);
label("12",(6,-0.5),S);
label("0",(-0.5,0),W);
label("40",(-0.5,2),W);
label("80",(-0.5,4),W);
label("120",(-0.5,6),W);
label("160",(-0.5,8),W);
label("200",(-0.5,10),W);
label("Time of Day (a.m.)",(3,-2),S);
label("Total distance",(-0.5,11),N);
[/asy]

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