# An algebra problem by Brilliant Member

Algebra Level pending

An army officer will deliver a message from A to C. He will travel by car at 80 miles per hour from A to B, and then by airplane to C against a wind blowing 30 miles per hour. The speed of airplane in still air is 250 miles per hour. If the army officer takes 4 hours in going from A to C, and $$3$$$$\frac{4}{7}$$ hours for the return trip, how far is B from C in miles?

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