Difference between revisions of "2019 AMC 8 Problems/Problem 5"
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Revision as of 11:19, 14 April 2020
Problem 5
A tortoise challenges a hare to a race. The hare eagerly agrees and quickly runs ahead, leaving the slow-moving tortoise behind. Confident that he will win, the hare stops to take a nap. Meanwhile, the tortoise walks at a slow steady pace for the entire race. The hare awakes and runs to the finish line, only to find the tortoise already there. Which of the following graphs matches the description of the race, showing the distance 
traveled by the two animals over time 
from start to finish?
Solution 1 (we shouldn't be able to edit)
First, the tortoise walks at a constant rate, ruling out 
Second, when the hare is resting, the distance will stay the same, ruling out 
and 
.
Third, the tortoise wins the race, meaning that the non-constant one should go off the graph last, ruling out 
.
Therefore, the answer 
is the only one left.
also see
| 2019 AMC 8 (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 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 AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
