Alignment to Content Standards
CCSS.MATH.CONTENT.HSN.Q.A.1
Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.
CCSS.MATH.CONTENT.HSN.Q.A.2
Define appropriate quantities for the purpose of descriptive modeling.
CCSS.MATH.CONTENT.HSN.Q.A.3
Choose a level of accuracy appropriate to limitations on measurement when reporting quantities.
Tasks
Both of the guys from Daft Punk are supposed to go onstage in 20 minutes but first they need to clean their helmets. It would take one of them 50 minutes to clean both helmets by himself and it would take the other 35 minutes to clean them both by himself. Using your knowledge of algebra, ratios, and unit analysis, determine how long it will take them to clean the helmets if they work together. Will their concert be able to start on time?
See the following file for the assessment task, commentary, and solution for this problem: