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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 30 miles per hour instead, then I would have arrived \(28\) minutes later. How many miles did I drive?

 Mar 5, 2022
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d = distance    rate * time

 

40x = d      and    30 (x + 28/60)  = d      equate the two       ( x = time in hours)

 

40x = 30x - 14

10x= 14

x = 1.4    hours                   40 * 1.4 hours = 56 miles

 Mar 5, 2022

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