2025 AMC 8 Problems/Problem 5

Revision as of 20:18, 30 January 2025 by Zhenghua (talk | contribs) (Problem)

Problem

Betty drives a truck to deliver packages in a neighborhood whose street map is shown below. Betty starts at the factory (labled $F$) and drives to location $A$, then $B$, then $C$, before returning to $F$. What is the shortest distance, in blocks, she can drive to complete the route?

[asy]  unitsize(20);  add(grid(8,6));  path w = circle((0,0),0.4);  fill(w, white); draw(w); label("$B$",(0,0));  fill(shift((2,4)) * w, white); draw(shift((2,4)) * w); label("$C$",(2,4));  fill(shift((7,3)) * w, white); draw(shift((7,3)) * w); label("$A$",(7,3));  fill(shift((6,5)) * w, white); draw(shift((6,5)) * w); label("$F$",(6,5));  draw((6,-0.2)--(7,-0.2), EndArrow(3)); draw((7,-0.2)--(6,-0.2), EndArrow(3)); draw(shift(6.5, -0.48) * scale(0.03) * texpath("1 block"));  draw((8.2,1)--(8.2,2), EndArrow(3)); draw((8.2,2)--(8.2,1), EndArrow(3)); draw(shift(8.88, 1.5) * scale(0.03) * texpath("1 block"));  [/asy]

$\textbf{(A)}\ 20 \qquad \textbf{(B)}\ 22 \qquad \textbf{(C)}\ 24 \qquad \textbf{(D)}\ 26\qquad \textbf{(E)}\ 28$

Video Solution by Daily Dose of Math

https://youtu.be/rjd0gigUsd0

~Thesmartgreekmathdude

Video Solution by Thinking Feet

https://youtu.be/PKMpTS6b988

See Also

2025 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AJHSME/AMC 8 Problems and Solutions

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