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I drove to the beach at a rate of 40 miles per hour.  If I had driven at a rate of 50 miles per hour instead, then I would have arrived 45 minutes later.  How many miles did I drive?

 Jul 6, 2023
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I assume that you mean 45 minutes earlier, if so then x is the miles you drove:

60x/40-45=60x/50,

3x/2-45=6x/5

3/10x-45=0

3/10x=45

3x=450

x=150

 

You drove 150 miles.

 Jul 6, 2023

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