2019 AMC 8 Problems/Problem 5
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 (Using the answer choices)
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.
-Lcz
See Also
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 |
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