2018 AMC 8 第 6 题

先试着解答 2018 AMC 8 第 6 题,然后核对你的答案与视频与精心整理的解答,解答来自 LIVE by Po-Shen Loh。你也可以参加完整限时模拟考试、查看全部 2018 AMC 8 解答,或核对答案。

所有题目均经美国数学协会(MAA)官方合法授权使用。

6.

Anh 去海滩旅行时,在高速公路上行驶了 5050 英里,在海边通道上行驶了 1010 英里。他在高速公路上的速度是海边通道上的三倍。如果 Anh 在海边通道上开了 3030 分钟,那么他的整趟行程用了多少分钟?
On a trip to the beach, Anh traveled 5050 miles on the highway and 1010 miles on a coastal access road. He drove three times as fast on the highway as on the coastal road. If Anh spent 3030 minutes driving on the coastal road, how many minutes did his entire trip take?
5050
7070
8080
9090
100100
答案:C
知识点:路程、速度与时间单位换算
小提示:
用海边通道的距离和时间先求出海边通道上的速度
Use the coastal-road information to find Anh’s coastal-road speed.
大提示:
高速公路上的速度是海边通道上速度的三倍,再由高速公路上的 5050 英里求出所用时间
The highway speed is three times the coastal-road speed, so the highway time follows from the 5050 highway miles.
视频讲解:
解答视频缩略图
Play video

Click to load, then click again to play

文字解答:
Anh 在海边通道上开了 1010 英里,用了 3030 分钟。因此海边通道速度(记为 vcv_c)是 vc=1030=13,\begin{align*}v_c&=\dfrac{10}{30}\\ &=\dfrac13\end{align*}\text{,}也就是每分钟 13\dfrac13 英里。因为他在高速公路上的速度是 33 倍,也就是 vh=3vcv_h=3v_c,所以高速公路速度为 3⋅13=13\cdot \dfrac13 = 1 英里每分钟。他在海边通道上开了 3030 分钟,在高速公路上开了 5050 英里,速度为每分钟 11 英里,所以这 5050 英里需要 5050 分钟。
因此总行程时间为 50+30=8050+30=80 分钟。
所以正确答案是 C。
Anh drove 1010 miles on the coastal road in 3030 minutes. Therefore, his speed on the coastal road (notated as vcv_c) is vc=1030=13.\begin{align*}v_c&=\dfrac{10}{30}\\ &=\dfrac13.\end{align*} This is 13\dfrac13 mile per minute. Since he drives 33 times as fast on the highway (i.e. vh=3vcv_h=3v_c), his highway speed is 3⋅13=13\cdot \dfrac13 = 1 mile per minute. Armed with these two facts, we know that Anh drove for 3030 minutes on the coastal road, and he drove 5050 miles at 11 mile per minute. This means it takes 5050 minutes to drive the 5050 miles on the highway.
As such, the total travel time is 50+30=8050+30=80 minutes.
Thus, the correct answer is C.
LIVE by Po-Shen Loh
LIVE项目

LIVE直播课程

Self-Paced录播课程

启明星Star计划

奖学金项目

关于我们

罗博深是谁?

邮件联系

订阅英文简报

加入我们

申请明星导师

For a more Thought Full world.

© 2026 Expii, Inc.