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Omni-MATH / The Evil League of Evil is plotting to poison the city's water supply. They plan…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

The Evil League of Evil is plotting to poison the city's water supply. They plan to set out from their headquarters at (5,1)(5,1) and put poison in two pipes, one along the line y=xy=x and one along the line x=7x=7. However, they need to get the job done quickly before Captain Hammer catches them. What's the shortest distance they can travel to visit both pipes and then return to their headquarters?
Plain-text mathematical notation (without MathML)
The Evil League of Evil is plotting to poison the city's water supply. They plan to set out from their headquarters at (5,1) and put poison in two pipes, one along the line y=x and one along the line x=7. However, they need to get the job done quickly before Captain Hammer catches them. What's the shortest distance they can travel to visit both pipes and then return to their headquarters?
Original LaTeX notation
The Evil League of Evil is plotting to poison the city's water supply. They plan to set out from their headquarters at $(5,1)$ and put poison in two pipes, one along the line $y=x$ and one along the line $x=7$. However, they need to get the job done quickly before Captain Hammer catches them. What's the shortest distance they can travel to visit both pipes and then return to their headquarters?

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Source and history

task_id
05ae2202-d48e-5cf1-be14-9394d350c9dd
task_key
test--05ae2202-d48e-5cf1-be14-9394d350c9dd
task_revision_id
1
config / split
/ test

Official source

initial import