Tutoring Centre — Sessions and Capacity

Algebraic Reasoning in OC Thinking Skills rarely involves formal algebra — no x and y notation required. Instead, this unit is about translating real-world constraints into a clear sequence of arithmetic steps and executing them without losing track. Let's start with the most common and most manageable variant: capacity questions where you need to find the maximum number of events that can be fitted into a limited time.

Capacity and rate questions appear consistently in the easier half of OC TS and reward students who can work in a clean step-by-step sequence. They are reliable marks because the method never changes: find total available time, subtract constraints, divide by the unit task time, then scale.

The examiner wants to confirm that you can translate real-world constraints — opening hours, individual breaks, session lengths, number of workers — into a single arithmetic chain without double-counting any of them or forgetting to include a constraint.

You are given a time window (e.g. 9:00 am to 6:00 pm), a number of workers, a per-worker break, and a fixed time per task. You must find how many total task sessions all workers can complete across the whole day.