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Tom, Dick, and Harry

Source:

February 1, 2009
geometry

Problem Statement

Tom, Dick and Harry started out on a 100 100-mile journey. Tom and Harry went by automobile at the rate of 25 25 mph, while Dick walked at the rate of 5 5 mph. After a certain distance, Harry got off and walked on at 5 5 mph, while Tom went back for Dick and got him to the destination at the same time that Harry arrived. The number of hours required for the trip was: <spanclass=latexbold>(A)</span> 5<spanclass=latexbold>(B)</span> 6<spanclass=latexbold>(C)</span> 7<spanclass=latexbold>(D)</span> 8<spanclass=latexbold>(E)</span> none of these answers <span class='latex-bold'>(A)</span>\ 5 \qquad<span class='latex-bold'>(B)</span>\ 6 \qquad<span class='latex-bold'>(C)</span>\ 7 \qquad<span class='latex-bold'>(D)</span>\ 8 \qquad<span class='latex-bold'>(E)</span>\ \text{none of these answers}