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MF.NS.5 Standard MF-005-A07-V04

Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.

Use common multiples in repeating schedules

Problem

Two sprinklers turn on together at \(7:00~a.m.\) One turns on every \(9~\text{minutes}\), and the other turns on every \(15~\text{minutes}\). In the hour after \(7:00~a.m.\), what is the first time they will both turn on together again? Do not include \(7:00~a.m.\)

Parallel number lines for two sprinklers that start together at 7:00 a.m. The top row shows one sprinkler turning on every 9 minutes at 0, 9, 18, 27, 36, 45, and 54 minutes after 7:00. The bottom row shows the other turning on every 15 minutes at 0, 15, 30, 45, and 60 minutes after 7:00. Open full size
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Four variants of this problem type
Curriculum context
Standard
MF.NS.5
Category
Number Sense
Domain
Whole-Number Structure
Objective
Find factors, multiples, common factors, and common multiples to solve numerical and contextual problems.
Problem type
Use common multiples in repeating schedules