MathDB

17

Part of 2004 AMC 10

Problems(2)

Problem: 2004 AMC 10 #17

Source:

2/1/2007
Brenda and Sally run in opposite directions on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 100 100 meters. They next meet after Sally has run 150 150 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters? <spanclass=′latex−bold′>(A)</span> 250<spanclass=′latex−bold′>(B)</span> 300<spanclass=′latex−bold′>(C)</span> 350<spanclass=′latex−bold′>(D)</span> 400<spanclass=′latex−bold′>(E)</span> 500 <span class='latex-bold'>(A)</span>\ 250\qquad <span class='latex-bold'>(B)</span>\ 300\qquad <span class='latex-bold'>(C)</span>\ 350\qquad <span class='latex-bold'>(D)</span>\ 400\qquad <span class='latex-bold'>(E)</span>\ 500
Jack and Bill's Ages

Source:

1/6/2009
The two digits in Jack's age are the same as the digits in Bill's age, but in reverse order. In five years Jack will be twice as old as Bill will be then. What is the difference in their current ages?
<spanclass=′latex−bold′>(A)</span> 9<spanclass=′latex−bold′>(B)</span> 18<spanclass=′latex−bold′>(C)</span> 27<spanclass=′latex−bold′>(D)</span> 36<spanclass=′latex−bold′>(E)</span> 45 <span class='latex-bold'>(A)</span>\ 9 \qquad <span class='latex-bold'>(B)</span>\ 18 \qquad <span class='latex-bold'>(C)</span>\ 27 \qquad <span class='latex-bold'>(D)</span>\ 36 \qquad <span class='latex-bold'>(E)</span>\ 45