Marlboro Man on expressway

Algebra Level 3

As i was driving on the expressway at a steady clip, my wife said, " Have you noticed that those annoying signs for Marlboro cigarettes seem to be regularly spaced along the road? I wonder how far apart they are." My wife glanced at her wristwatch, then counted aloud the number of Marlboro man signs we passed in one minute. "What a coincidence," I exclaimed. "When you multiply that number by 10, it exactly equals the speed of our car in miles per hour." Assuming that the cars speed is constant, that the signs are equally spaced, and that my wife's minute began and ended with the car midway between two signs, how far is it between one sign and the next? (answer in miles)

The problem is not original.


The answer is 0.16667.

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2 solutions

Venture Hi
Feb 16, 2014

In 1 minute, the wife counted x number of signs. The car's speed is 10x mph. The distance travelled in 1 minute is 10x multiply by 1/60 ( to convert into hr) which equals to x/6 miles. Therefore, the distance between each sign is (x/6) / x= 1/6 miles 0r 0.166667

Satyen Nabar
Feb 16, 2014

Let x be the number of signs passed in one minute. In an hour the car will pass 60x signs. The speed of the car we are told is 10x mph. In 10x miles it will pass 60x signs, so in 1 mile it will pass 60x/10x, or 6 signs. The signs therefore are 1/6 miles or 0.166667 miles apart.

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