MathDB
Walking Rates

Source: AMC 12 2006B, Problem 5

February 17, 2006
AMC

Problem Statement

John is walking east at a speed of 3 miles per hour, while Bob is also walking east, but at a speed of 5 miles per hour. If Bob is now 1 mile west of John, how many minutes will it take for Bob to catch up to John? <spanclass=latexbold>(A)</span>30<spanclass=latexbold>(B)</span>50<spanclass=latexbold>(C)</span>60<spanclass=latexbold>(D)</span>90<spanclass=latexbold>(E)</span>120 <span class='latex-bold'>(A) </span> 30 \qquad <span class='latex-bold'>(B) </span> 50 \qquad <span class='latex-bold'>(C) </span> 60 \qquad <span class='latex-bold'>(D) </span> 90 \qquad <span class='latex-bold'>(E) </span> 120