MathDB

7

Part of 2017 AMC 10

Problems(2)

Square Fields

Source: 2017 AMC 10A #7, 2017 AMC 12A #4

2/8/2017
Jerry and Silvia wanted to go from the southwest corner of a square field to the northeast corner. Jerry walked due east and then due north to reach the goal, but Silvia headed northeast and reached the goal walking in a straight line. Which of the following is closest to how much shorter Silvia's trip was, compared to Jerry's trip?
<spanclass=′latex−bold′>(A)</span> 30%<spanclass=′latex−bold′>(B)</span> 40%<spanclass=′latex−bold′>(C)</span> 50%<spanclass=′latex−bold′>(D)</span> 60%<spanclass=′latex−bold′>(E)</span> 70%<span class='latex-bold'>(A)</span>\ 30 \%\qquad<span class='latex-bold'>(B)</span>\ 40 \%\qquad<span class='latex-bold'>(C)</span>\ 50 \%\qquad<span class='latex-bold'>(D)</span>\ 60 \%\qquad<span class='latex-bold'>(E)</span>\ 70 \%
AMCAMC 10AMC 122017 AMC 10A2017 AMC 12Apercent
Flat tires

Source: 2017 AMC 10B #7 / AMC 12B #4

2/16/2017
Samia set off on her bicycle to visit her friend, traveling at an average speed of 17 kilometers per hour. When she had gone half the distance to her friend's house, a tire went flat, and she walked the rest of the way at 5 kilometers per hour. In all it took her 44 minutes to reach her friend's house. In kilometers rounded to the nearest tenth, how far did Samia walk?
<spanclass=′latex−bold′>(A)</span> 2.0<spanclass=′latex−bold′>(B)</span> 2.2<spanclass=′latex−bold′>(C)</span> 2.8<spanclass=′latex−bold′>(D)</span> 3.4<spanclass=′latex−bold′>(E)</span> 4.4<span class='latex-bold'>(A)</span>\ 2.0 \qquad <span class='latex-bold'>(B)</span>\ 2.2\qquad <span class='latex-bold'>(C)</span>\ 2.8 \qquad <span class='latex-bold'>(D)</span>\ 3.4 \qquad <span class='latex-bold'>(E)</span>\ 4.4
AMCAMC 10AMC 122017 AMC 10B2017 AMC 12Brates