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Driving along a crowded freeway, you notice that it takes a time t to go from one mile marker to the next. When you increase your speed by 4.5 mi/h, the time to go one mile decreases by 11 s. What was your original speed?

I cannot figure out how to do this problem, just the method alone would be very helpful. I kept thinking the original mile had to be in 60 sec, and I just cant figure out how to clearly go about this problem. Please help!