MathDB

4

Part of 2003 AMC 10

Problems(2)

Mary's Uphill Journey

Source:

2/16/2008
It takes Mary 30 30 minutes to walk uphill 1 1 km from her home to school, but it takes her only 10 10 minutes to walk from school to home along the same route. What is her average speed, in km/hr, for the round trip? <spanclass=latexbold>(A)</span> 3<spanclass=latexbold>(B)</span> 3.125<spanclass=latexbold>(C)</span> 3.5<spanclass=latexbold>(D)</span> 4<spanclass=latexbold>(E)</span> 4.5 <span class='latex-bold'>(A)</span>\ 3 \qquad <span class='latex-bold'>(B)</span>\ 3.125 \qquad <span class='latex-bold'>(C)</span>\ 3.5 \qquad <span class='latex-bold'>(D)</span>\ 4 \qquad <span class='latex-bold'>(E)</span>\ 4.5
Rose's Rectangular Flower Bed

Source:

1/4/2009
Rose fills each of the rectangular regions of her rectangular flower bed with a different type of flower. The lengths, in feet, of the rectangular regions in her flower bed are as shown in the figure. She plants one flower per square foot in each region. Asters cost $ \$1 each, begonias $ \$1.50 each, cannas $ \$2 each, dahlias $ \$2.50 each, and Easter lilies $ \$3 each. What is the least possible cost, in dollars, for her garden? [asy]unitsize(5mm); defaultpen(linewidth(.8pt)+fontsize(8pt));
draw((6,0)--(0,0)--(0,1)--(6,1)); draw((0,1)--(0,6)--(4,6)--(4,1)); draw((4,6)--(11,6)--(11,3)--(4,3)); draw((11,3)--(11,0)--(6,0)--(6,3));
label("1",(0,0.5),W); label("5",(0,3.5),W); label("3",(11,1.5),E); label("3",(11,4.5),E); label("4",(2,6),N); label("7",(7.5,6),N); label("6",(3,0),S); label("5",(8.5,0),S);[/asy]<spanclass=latexbold>(A)</span> 108<spanclass=latexbold>(B)</span> 115<spanclass=latexbold>(C)</span> 132<spanclass=latexbold>(D)</span> 144<spanclass=latexbold>(E)</span> 156 <span class='latex-bold'>(A)</span>\ 108 \qquad <span class='latex-bold'>(B)</span>\ 115 \qquad <span class='latex-bold'>(C)</span>\ 132 \qquad <span class='latex-bold'>(D)</span>\ 144 \qquad <span class='latex-bold'>(E)</span>\ 156
geometryrectangle