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22 September, 04:41

The stoplights on a street are designed to keep traffic moving at 22 mi/h. The average length of a street block between traffic lights is about 80 m. What must be the time delay between green lights on successive blocks to keep the traffic moving continuously? There are 1.609 * 103 m in a mile. Answer in units of s.

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  1. 22 September, 04:52
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    The time delay between green lights on successive blocks must be 8,134334 seconds.

    Step-by-step explanation:

    The idea in this problem is to know how long it takes to drive through each block at a speed of 22 mi/h. At that speed, it would take 8,134334 seconds to complete the distance from a green light to the next.

    First you need to convert the 22mi/h to m/h. The equivalence presented in the question is wrong, actually it is: 1609,34 m = 1 mi. Then we have:

    1 mi - --> 1609,34 m

    22 mi - ->? m

    (22 mi x 1609,34 m) / 1 mi = 35405,48 m

    22 mi/h is equivalent to say 35405,48 m/h

    Second, considering the equivalence 1 h = 3600 s, you can replace this value in the speed previosly calculated:

    35405,48 m / 3600 s = 9,834856 m/s

    From this you now know that in one second, at the specified speed, you drive 9,834856 m

    But you need to know how much time you need for driving in a distance of 80 m between green lights, so:

    1s - --> 9,834856 m

    ? s - --> 80 m

    (80 m x 1s) / 9,83485556 m = 8,134334 s

    You drive the 80 m between green lights in 8,134334 s
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