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Home » 9t^2 - 10t + 2 = 0. - IX Labs

9t^2 - 10t + 2 = 0. - IX Labs

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📌 A project manager is overseeing two teams working on a new software feature. Team A works 8 hours a day for 5 days and completes 40% of the project. Team B works 7 hours a day for 6 days and completes 30% of the project. If both teams continue at the same rate, how many total hours will it take for both teams combined to complete the entire project?

📌 Team A completes 40% in \(8 \times 5 = 40\) hours. So, 40% = 40 hours → 1% = 1 hour → 100% = 100 hours.

📌 Team B completes 30% in \(7 \times 6 = 42\) hours. So, 30% = 42 hours → 1% = 1.4 hours → 100% = 140 hours.

📌 Total work required = 100 + 140 = 240 hours.

📌 The combined daily output is \(8 + 7 = 15\) hours and they complete 40% + 30% = 70% of the project in 42 days.

📌 70% in 42 days → 1% in 0.6 days → 100% in 60 days.

📌 Total working hours required: 240.

📌 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.

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