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14 April, 12:02

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. in one particular pair of? markings, r is 66 mph when t is 66 seconds. find the speed of a car that travels the given distance in 55 seconds.

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  1. 14 April, 15:48
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    R = k / t where r = speed, t = time and k is a constant

    Given r = 66 when t = 66 so we have

    66 = k / 66

    so k = 66^2 = 4356

    so when t = 55

    speed r = 4356 / 55 = 79.2 mph
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