2015 AMC 8 第 3 题

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所有题目均经美国数学协会(MAA)官方合法授权使用。

3.

Jack 和 Jill 要去离家一英里的游泳池游泳。他们同时离家。Jill 以每小时 1010 英里的恒定速度骑自行车去游泳池。Jack 以每小时 44 英里的恒定速度步行去游泳池。Jill 比 Jack 早到多少分钟?

Jack and Jill are going swimming at a pool that is one mile from their house. They leave home simultaneously. Jill rides her bicycle to the pool at a constant speed of 1010 miles per hour. Jack walks to the pool at a constant speed of 44 miles per hour. How many minutes before Jack does Jill arrive?

55

66

88

99

1010

答案:D
知识点:路程、速度与时间
难度评级:660
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文字解答:

Jack 的速度是 44 英里每 6060 分钟,所以他到游泳池需要 604=15\dfrac{60}{4} = 15 分钟。

Jill 的速度是 1010 英里每 6060 分钟,所以她到游泳池需要 6010=6\dfrac{60}{10} = 6 分钟。

两人的时间差为 156=915-6 = 9 分钟。

所以正确答案是 D

Jack travels at a rate of 44 miles per 6060 minutes. Therefore, it takes him 604=15\dfrac{60}{4} = 15 minutes to get to the pool.

Jill travels at a rate of 1010 miles per 6060 minutes. Therefore it takes her 6010=6\dfrac{60}{10} = 6 minutes to get to the pool.

Therefore, the difference in their times is 156=915-6 = 9 minutes.

Thus, the correct answer is D .

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