Answer: Approximately 5.92 hours
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Step-by-step explanation:
Since the time varies inversely with the speed, this means they multiply together to get some constant, which this case it would be the distance.
distance = speed*time
d = r*t
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Now plug in r = 55 and t = 7
d = r*t
d = 55*7
d = 385
The distance is 385 miles.
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Plug in d = 385 and r = 65, solve for t.
d = r*t
385 = 65*t
t = 385/65
t = 5.92 approximately
It takes about 5.92 hours to drive the distance of 385 miles at a speed of 65 mph.