MathDB
Train hits Accident

Source:

February 8, 2009

Problem Statement

A train, an hour after starting, meets with an accident which detains it a half hour, after which it proceeds at 34 \frac{3}{4} of its former rate and arrives 312 3 \frac{1}{2} hours late. Had the accident happened 90 90 miles farther along the line, it would have arrived only 3 3 hours late. The length of the trip in miles was: <spanclass=latexbold>(A)</span> 400<spanclass=latexbold>(B)</span> 465<spanclass=latexbold>(C)</span> 600<spanclass=latexbold>(D)</span> 640<spanclass=latexbold>(E)</span> 550 <span class='latex-bold'>(A)</span>\ 400 \qquad <span class='latex-bold'>(B)</span>\ 465 \qquad <span class='latex-bold'>(C)</span>\ 600 \qquad <span class='latex-bold'>(D)</span>\ 640 \qquad <span class='latex-bold'>(E)</span>\ 550