A 17 foot piece of string is cut into two pieces so that the longer piece is 5 feet longer than twice the shorter piece. If the
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The length of the bridge is the distance from the beginning to the end.
<em>The distance b between each beam is 9ft.</em>
Let:
<em /><em> I-Beam</em>
<em /><em> distance between I beam and the bridge</em>
<em /><em> distance between each I beam</em>
<em />
Given that:
<em /><em> --- length of the bridge</em>
<em />
From the diagram (see attachment), there are: 6 I-beams.
So, the length of the 6 I-beams is:
There are 2 I-beams beside the bridge
So, the distance between the 2 I-beams and the bridge is:
There are 5 spaces between the I-beams
So, the length of the total spaces is:
The total length is:
So, we have:
Collect like terms
Convert inches to feet
Divide both sides by 5
<em>Hence, the distance (b) between each beam is 9ft.</em>
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