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Railroad Line on a Mountain

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February 1, 2009

Problem Statement

A rise of 600 600 feet is required to get a railroad line over a mountain. The grade can be kept down by lengthening the track and curving it around the mountain peak. The additional length of track required to reduce the grade from 3% 3\% to 2% 2\% is approximately: <spanclass=′latex−bold′>(A)</span> 10000 ft.<spanclass=′latex−bold′>(B)</span> 20000 ft.<spanclass=′latex−bold′>(C)</span> 30000 ft.<spanclass=′latex−bold′>(D)</span> 12000 ft.<spanclass=′latex−bold′>(E)</span> none of these <span class='latex-bold'>(A)</span>\ 10000 \text{ ft.} \qquad<span class='latex-bold'>(B)</span>\ 20000 \text{ ft.} \qquad<span class='latex-bold'>(C)</span>\ 30000 \text{ ft.} \qquad<span class='latex-bold'>(D)</span>\ 12000 \text{ ft.} \qquad<span class='latex-bold'>(E)</span>\ \text{none of these}
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