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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 30 minutes later. How many miles did I drive?

 Oct 24, 2021
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Let the distance to the beach==D

Let the time taken to drive to the beach ==T

 

D /40 == T

D /50 == T - 1/2, solve for D, T 

 

D==100 miles - distance to the beach

T ==5/2 ==2.50 hours - time it takes to drive to the beach

 

Note: if you drove at 50 mph, you would get to the beach 30 minutes EARLIER and not LATER !!!

 Oct 24, 2021

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