1994 AMC 8 第 14 题

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14.

pairball 每次可以由两个孩子玩。9090 分钟内始终只有两个孩子同时在玩,五个孩子轮流上场,使每个人玩的时间相同。每个孩子玩了多少分钟?

Two children at a time can play pairball. For 9090 minutes, with only two children playing at one time, five children take turns so that each one plays the same amount of time. The number of minutes each child plays is

99

1010

1818

2020

3636

答案:E
知识点:速率
难度评级:820
解答:

任意时刻都有两个孩子在玩,共 9090 分钟,所以总游戏时间是 2×90=1802 \times 90 = 180 个孩子分钟。

平均分给 55 个孩子,每个孩子玩 1805=36\dfrac{180}{5} = 36 分钟。

所以正确答案是 E

Two children play at every moment for 9090 minutes, so the total playing time is 2×90=1802 \times 90 = 180 child-minutes.

Split equally among 55 children, each plays 1805=36\dfrac{180}{5} = 36 minutes.

Thus, the correct answer is E .

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