A tortoise challenged a hare to a race. The hare eagerly agree 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 dd traveled by the two animals over time tt from start to finish?
A. [Graph A]
B. [Graph B]
C. [Graph C]
D. [Graph D]
E. [Graph E]

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Worked solution

1. 2019 AMC 8 官方解析

龟兔赛跑.兔子一马当先甩开乌龟.自认能赢,于是兔子打了个盹.而同时,乌龟慢慢悠悠一直在走着.等兔子醒来跑到终点,发现乌龟已经到了.下列图示中正确反映出发时间和两只动物的距离的是?

A. We find it in this way:

The hare napped for a while hence there should be straight line ( segment ) So C and E are excluded. Next slopes represent the velocity. The tortoise with small speed won, hence it would reach the high end of distan ce with a smaller time value. So B.

Answer

B. [Graph B]

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