Rates, Time, and Work
Ages 16–18Difficulty adapts to you
Rates, Time, and Work
A rate compares quantities with different units: rate = amount ÷ time. Keep the units consistent and distinguish a rate from a total. When people or machines work together, add their rates only when the work is independent and the context allows it.
Your goals
- ✓You can solve problems involving speed, productivity, flow, wages, and changing schedules.
- ✓You can use Rates, Time, and Work, model correctly.
- ✓You can use the definitions, units, assumptions, and examples to check your answer.
Words to know
- Rates, Time, and Work:
- Solve problems involving speed, productivity, flow, wages, and changing schedules.
- model:
- A rule or representation used to describe a situation and make a prediction.
Examples
- 1A worker completing 48 items in 6 hours has a rate of 8 items per hour.
- 2At 60 km/h for 2.5 hours, distance is 150 km, ignoring stops.
Check these
- • Do not skip the meaning of a term or give a result without explaining what it means.
- • Keep every number, symbol, label, and unit in its correct place.
- • Show enough working to check how you reached your answer.
Helpful habits
- • Read the whole question before choosing what to do.
- • Show one clear step at a time and check each step.
- • If you are stuck, draw a model, try smaller numbers, or revisit the example.
Now try your own
Create your own rates, time, and work example, solve it, and explain how you checked it.
Professor Wise Owl
Wisdom & Understanding“Mistakes are proof that you are trying. Keep going!”