SOLUTION: The length of time it takes Brad to get to work varies inversely with his speed of travel. If it takes him 2.5 hours when traveling 15 miles per hour, how long does it take when t

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Question 37607: The length of time it takes Brad to get to work varies inversely with his speed of travel. If it takes him 2.5 hours when traveling 15 miles per hour, how long does it take when traveling 50 miles per hour?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
speed varies inversely with time
s = speed
t = time
k = proportional constant
s = k(1/t)
15 = k(1/2.5)
k = 2.5 * 15
k = 37.5
50 = 37.5(1/t)
t = 37.5/50
t = .75 or three quarters of an hour