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Home » Solution: Group and complete the square: - Dachbleche24

Solution: Group and complete the square: - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 A car travels from City A to City B at an average speed of 60 km/h and returns at an average speed of 80 km/h. If the total travel time is 7 hours, what is the distance between the two cities?

📌 Let \( d \) be the distance between City A and City B. The time taken to travel from A to B is \( \frac{d}{60} \) hours, and the time to return is \( \frac{d}{80} \) hours.

📌 The equation for total time is:

📌 \frac{d}{60} + \frac{d}{80} = 7

📌 Finding a common denominator (240):

📌 \frac{4d}{240} + \frac{3d}{240} = 7 \\

📌 \frac{7d}{240} = 7 \\

📌 7d = 1680 \\

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