I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 30 miles per hour instead, then I would have arrived 20 minutes later. How many miles did I drive?

How many miles did I drive?

Hello Guest!

\(40\frac{miles}{h}\cdot x=30\frac{miles}{h}\cdot (x+\frac{1}{3}h)\\ 40\frac{miles}{h}\cdot x=30\frac{miles}{h}\cdot x+10miles\\ 10\frac{miles}{h}\cdot x=10miles\\ x=1h \)

\(40\frac{miles}{h}\cdot 1h=40miles\)

40 miles did I drive.

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