MathDB
Jack and Jill

Source: 2015 AMC 8 #3

November 25, 2015
AMC 82015 AMC 8

Problem Statement

Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of 1010 miles per hour. Jack walks to the pool at a constant speed of 44 miles per hour. How many minutes before Jack does Jill arrive?
<spanclass=latexbold>(A)</span>5<spanclass=latexbold>(B)</span>6<spanclass=latexbold>(C)</span>8<spanclass=latexbold>(D)</span>9<spanclass=latexbold>(E)</span>10<span class='latex-bold'>(A) </span>5\qquad<span class='latex-bold'>(B) </span>6\qquad<span class='latex-bold'>(C) </span>8\qquad<span class='latex-bold'>(D) </span>9\qquad <span class='latex-bold'>(E) </span>10