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12 Person Race

Source: 2015 amc 10b #5

February 26, 2015
AMC

Problem Statement

David, Hikmet, Jack, Marta, Rand, and Todd were in a 1212-person race with 66 other people. Rand finished 66 places ahead of Hikmet. Marta finished 11 place behind Jack. David finished 22 places behind Hikmet. Jack finished 22 places behind Todd. Todd finished 11 place behind Rand. Marta finished in 66th place. Who finished in 88th place? <spanclass=′latex−bold′>(A)</span>David<spanclass=′latex−bold′>(B)</span>Hikmet<spanclass=′latex−bold′>(C)</span>Jack<spanclass=′latex−bold′>(D)</span>Rand<spanclass=′latex−bold′>(E)</span>Todd<span class='latex-bold'>(A) </span> \text{David} \qquad<span class='latex-bold'>(B) </span> \text{Hikmet} \qquad<span class='latex-bold'>(C) </span> \text{Jack} \qquad<span class='latex-bold'>(D) </span> \text{Rand} \qquad<span class='latex-bold'>(E) </span> \text{Todd}
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