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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_1 / Cities A and B are 45 miles apart. Alicia lives in A and Beth lives in B. Alicia bikes towards B at 18 miles per hour. Leaving at the same time, Beth bikes toward A at 12 miles per…

Problem

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problem

Cities

A

and

B

are

45

miles apart. Alicia lives in

A

and Beth lives in

B

. Alicia bikes towards

B

at 18 miles per hour. Leaving at the same time, Beth bikes toward

A

at 12 miles per hour. How many miles from City

A

will they be when they meet?

Plain-text mathematical notation (without MathML)

Cities A and B are 45 miles apart. Alicia lives in A and Beth lives in B. Alicia bikes towards B at 18 miles per hour. Leaving at the same time, Beth bikes toward A at 12 miles per hour. How many miles from City A will they be when they meet?

Original LaTeX notation

Cities $A$ and $B$ are $45$ miles apart. Alicia lives in $A$ and Beth lives in $B$. Alicia bikes towards $B$ at 18 miles per hour. Leaving at the same time, Beth bikes toward $A$ at 12 miles per hour. How many miles from City $A$ will they be when they meet?

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2023_AMC_12A_Problems/Problem_1
task_id: 48f94e01-6ea1-5b33-b7b1-818017a09f53
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2023~5fAMC~5f12A~5fProblems~2fProblem~5f1
task_revision_id: 2
config / split: default / train

Official source

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