Math Problem Statement

A and B can complete a task in 12 days, while B and C can complete it in 16 days. If A, B, and C together complete the task in 8 days, how long will it take A and C together to complete the task?

Solution

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Math Problem Analysis

Mathematical Concepts

Algebra
Work and Time
Rate of Work

Formulas

Rate of work = 1 / time
Combined rate of work for two or more workers = sum of individual rates
Time to complete task = 1 / combined rate

Theorems

Basic principles of work and rate problems

Suitable Grade Level

Grades 8-10