
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
In a bike race, Carlos and Dana are biking on parallel paths. After 5 hours, how many more miles has Carlos biked compared to Dana? The diagram shows Carlos biking at a consistent rate, reaching 70 miles in 5 hours. Dana bikes at a different rate, reaching 50 miles in the same time. [asy]
/* Modified Problem Based on AMC8 1999 #4 */
draw((0,0)--(6,0)--(6,4.375)--(0,4.375)--cycle);
for(int x=0; x <= 6; ++x) {
    for(real y=0; y <=4.375; y+=0.875) {
        dot((x, y));
    }
}
draw((0,0)--(5,3.5)); // Carlos's line
draw((0,0)--(5,2.5)); // Dana's line
label(rotate(35)*"Dana", (3.1,1.25));
label(rotate(35)*"Carlos", (3,2.45));
label(scale(0.75)*rotate(90)*"MILES", (-1, 2.2));
label(scale(0.75)*"HOURS", (3, -1));

label(scale(0.85)*"70", (0, 3.5), W);
label(scale(0.85)*"60", (0, 3.0), W);
label(scale(0.85)*"50", (0, 2.5), W);
label(scale(0.85)*"40", (0, 2.0), W);
label(scale(0.85)*"30", (0, 1.5), W);
label(scale(0.85)*"20", (0, 1.0), W);
label(scale(0.85)*"10", (0, 0.5), W);
label(scale(0.86)*"1", (1, 0), S);
label(scale(0.86)*"2", (2, 0), S);
label(scale(0.86)*"3", (3, 0), S);
label(scale(0.86)*"4", (4, 0), S);
label(scale(0.86)*"5", (5, 0), S);
[/asy]

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