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 8.2 mi/h, the time to go one mile decreases by 12 s. what is your original speed?

Question

Physics

Colin Hendricks

22 June, 16:57

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 8.2 mi/h, the time to go one mile decreases by 12 s. what is your original speed?

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Answers (1)

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Alisha Ray · Answer 1

From the first condition

1 = vo t

From the second condition

1 = 8.2 (t - 12/60)

The time it takes to travel 1 mile in the second condition is

t = 0.32 hr

The original speed is

1 = vo (0.32)

vo = 3.13 mi/h