benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / One gear turns 33(1)/(3) times in a minute. Another gear turns 45 times in a minute. Initially, a mark on each gear is pointing due north. After how many seconds will the two gears…

Problem

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

problem

One gear turns 331333\frac{1}{3} times in a minute. Another gear turns 45 times in a minute. Initially, a mark on each gear is pointing due north. After how many seconds will the two gears next have both their marks pointing due north?
Plain-text mathematical notation (without MathML)
One gear turns 33(1)/(3) times in a minute.  Another gear turns   45 times in a minute.  Initially, a mark on each gear is pointing  due north.  After how many seconds will the two gears next  have both their marks pointing due north?
Original LaTeX notation
One gear turns $33\frac{1}{3}$ times in a minute.  Another gear turns   45 times in a minute.  Initially, a mark on each gear is pointing  due north.  After how many seconds will the two gears next  have both their marks pointing due north?

level

Level 5

type

Number Theory

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
79311bac-5786-583c-8d6a-26133396177d
task_key
number~5ftheory--test--79311bac-5786-583c-8d6a-26133396177d
task_revision_id
1
config / split
number_theory / test

Official source

initial import