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Home » Valid solution (since \(x > 1\)): - Professionaloutdoormedia

Valid solution (since \(x > 1\)): - Professionaloutdoormedia

📅 May 13, 2026 👤 scraface

May 13, 2026

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📌 Total hours at current combined rate: 15 hours/day × 60 days = 900 hours. But this is more than needed — we need to compute actual hours with proportional work.

📌 Team A’s rate: \( \frac{40\%}{40 \text{ hours}} = 1\% \text{ per hour} \)

📌 Team B’s rate: \( \frac{30\%}{42 \text{ hours}} = \frac{30}{42} = \frac{5}{7} \approx 0.714\% \) per hour

📌 Combined rate: \(1 + \frac{5}{7} = \frac{12}{7}\% \) per hour

📌 Time to complete 100%: \( \frac{100}{12/7} = 100 \times \frac{7}{12} = \frac{700}{12} = 58.33 \) hours

📌 #### 58.33

📌 An epidemiologist is modeling the spread of a disease in a population of 1 million. The model predicts that the number of infected individuals doubles every 3 days. If there are initially 50 infected individuals, how many days will it take for at least 80% of the population to be infected?

📌 80% of 1,000,000 = 800,000

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