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Home » Equate exponents: \( x + 1 = 4 \). - SUpost

Equate exponents: \( x + 1 = 4 \). - SUpost

📅 July 5, 2026 👤 scraface

Jul 05, 2026

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📌 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.

📌 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

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