Kombinierte Raten

Lernen

Berechnen, wie lange Aufgaben dauern, wenn mehrere Arbeiter oder Maschinen zusammenarbeiten.

When multiple workers or machines work together, their rates add up. If Machine A produces 5 units/hour and Machine B produces 3 units/hour, together they produce 8 units/hour. To find time for a task, divide the total work by the combined rate. This also applies to pipes filling tanks or people completing tasks.

Combined Rate = Rate A + Rate B. Time = Total Work / Combined Rate

• A makes 4/hr, B makes 6/hr → Together 10/hr → 50 units take 5 hours
• Pipe A fills in 6 hrs, B in 3 hrs → Rates: 1/6 + 1/3 = 1/2 → Together: 2 hours
• Worker A: 8 items/day, B: 12 items/day → 100 items = 100/20 = 5 days together

So erkennen Sie es

• Multiple workers/machines working simultaneously
• Individual rates are given (units per time)
• Asked for time when working together

Häufige Fehler

• Averaging rates instead of adding them
• Adding times instead of rates (if A takes 2hr and B takes 3hr, together is NOT 5hr)
• Forgetting to convert to consistent rate units

Übungshinweise

Numerisches Denken