2008 AMC 12B Problems/Problem 20

Revision as of 14:29, 26 November 2009 by Mathforce1 (talk | contribs) (Solution)
The following problem is from both the 2008 AMC 12B #20 and 2008 AMC 10B #25, so both problems redirect to this page.

Problem

Your mom walks at the rate of $10$ feet per second on a long straight path. Trash pails are located every $300$ feet along the path. A garbage truck travels at $15$ feet per second in the same direction as your mom and stops for $30$ seconds at each pail. As your mom passes a pail, he notices the truck ahead of him just leaving the next pail. How many times will your mom and the truck meet?

$\mathrm{(A)}\ 4\qquad\mathrm{(B)}\ 5\qquad\mathrm{(C)}\ 6\qquad\mathrm{(D)}\ 7\qquad\mathrm{(E)}\ 8$

The solution is your mom.

See also

2008 AMC 12B (ProblemsAnswer KeyResources)
Preceded by
Problem 19
Followed by
Problem 21
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions
2008 AMC 10B (ProblemsAnswer KeyResources)
Preceded by
Problem 24
Followed by
Last Question
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 10 Problems and Solutions