A and B can complete a job together in 12.5 days; B and C can complete the same job together in 18.75 days, while C and A can complete the same job together in 15 days. In how many days will A, B and C together be able to complete the same job alongside D, who is only 40% as efficient as C?
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Let the work rates of A, B, C, and D be \( a, b, c, d \) respectively. The total work done per day by each pair is given by: \[ a + b = \frac{1}{12.5}, \quad b + c = \frac{1}{18.75}, \quad c + a = \frac{1}{15} \] From these equations, we can solve for the individual rates, and then calculate the time taken for A, B, C, and D to complete the job.
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