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Rate and proportion problems are a staple of QR. They include speed/distance/time, cost per unit, density, flow rates, and any situation where one quantity depends on another. This lesson covers the core methods and the specific rate problems that appear most often.
A rate is a ratio that compares two different units. Common rates in QR:
| Rate | Formula | Units |
|---|---|---|
| Speed | Distance ÷ Time | km/h, mph, m/s |
| Price per unit | Total Cost ÷ Quantity | £/kg, £/item, p/litre |
| Density | Mass ÷ Volume | g/cm³, kg/m³ |
| Flow rate | Volume ÷ Time | litres/min, ml/s |
| Fuel consumption | Distance ÷ Fuel Used | km/litre, miles/gallon |
| Wage rate | Pay ÷ Hours | £/hour |
| To Find | Formula |
|---|---|
| Distance | Speed × Time |
| Speed | Distance ÷ Time |
| Time | Distance ÷ Speed |
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