MathDB
Han, Ian, and Jan

Source: AMC 10 2008A Problem 15

February 22, 2008
AMC

Problem Statement

Yesterday Han drove 1 1 hour longer than Ian at an average speed 5 5 miles per hour faster than Ian. Jan drove 2 2 hours longer than Ian at an average speed 10 10 miles per hour faster than Ian. Han drove 70 70 miles more than Ian. How many more miles did Jan drive than Ian? <spanclass=latexbold>(A)</span> 120<spanclass=latexbold>(B)</span> 130<spanclass=latexbold>(C)</span> 140<spanclass=latexbold>(D)</span> 150<spanclass=latexbold>(E)</span> 160 <span class='latex-bold'>(A)</span>\ 120 \qquad <span class='latex-bold'>(B)</span>\ 130 \qquad <span class='latex-bold'>(C)</span>\ 140 \qquad <span class='latex-bold'>(D)</span>\ 150 \qquad <span class='latex-bold'>(E)</span>\ 160