# Math

Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. For one particular pair of markings, R is 60 mph when T is 8 seconds. Find the speed of a care that travels the given distance in 6 seconds.

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1. R = k(1/T) = k/T
when R = 60, T = 8
60 = k/8
k = 480

R = 480/T

so when T = 6
R = 480/6 = 80 mph

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2. Fuartbart

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