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Home » \( 21,250 \times 0.85 = 18,062.50 \) - Simpleprint

\( 21,250 \times 0.85 = 18,062.50 \) - Simpleprint

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 Une voiture voyage de la ville A Ã la ville B, une distance de 300 km, Ã une vitesse moyenne de \( v \) km/h. Au voyage de retour, la vitesse est de \( v + 20 \) km/h en raison d'une circulation rÃ©duite. Si le temps de trajet total est de 7 heures, trouver \( v \).

📌 Temps pour aller Ã la ville B : \( rac{300}{v} \).

📌 Temps de retour : \( rac{300}{v + 20} \).

📌 Temps total : \( rac{300}{v} + rac{300}{v + 20} = 7 \).

📌 Multipliez par \( v(v + 20) \) : \( 300(v + 20) + 300v = 7v(v + 20) \).

📌 Simplifiez : \( 300v + 6000 + 300v = 7v^2 + 140v \).

📌 Combinez les termes : \( 600v + 6000 = 7v^2 + 140v \).

📌 RÃ©arrangez : \( 7v^2 - 460v - 6000 = 0 \).

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