Joern and Bin went on a year-long round-the-world backpacking tour starting January 1

题目

Joern and Bin went on a year-long round-the-world backpacking tour starting January 1. Five days before the trip, each had opened a bank account. Then their insurance companies started to withdraw $300 from their accounts, respectively, on the first business day of each month. Assuming no other deposits or withdrawals, whose account had more money in it at the end of the year of travels?

(1) On April 15 during the tour, Bin's account had twice as much money as Joern's account.

(2) On June 15 during the tour, Bin's account had four times as much money as Joern's account.

选项

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

解析

乔恩（Joern）和宾（Bin）从1月1日开始进行为期一年的环球背包旅行。在旅行前五天，他们每人都开了一个银行账户。然后他们的保险公司分别在每个月的第一个工作日从他们的账户中支取300美元。假设没有其他的存款或取款，在一年的旅行结束时，谁的账户里的钱更多？ - **条件（1）**：在旅行期间的4月15日，宾的账户里的钱是乔恩账户里钱的两倍。 - **条件（2）**：在旅行期间的6月15日，宾的账户里的钱是乔恩账户里钱的四倍。 1. **每个月扣的钱一样：都是 $300** 2. **一年扣的总额一样：12 × 300 = $3600** 3. 题目隐含：**账户里钱足够扣一整年**，不会扣到负数、不会提前停扣。那么： - 任意时刻：**Bin 比 Joern 多 x 元** - 每个月两人都**同步减少 300** - 所以**差距永远不变** => **任何时间点谁多，年末就谁多。** ### 放到这道题里 - (1) 4月15日：Bin = 2×Joern → Bin 多 - (2) 6月15日：Bin = 4×Joern → Bin 多 **不管单独看(1)还是(2)，都能直接确定：年末 Bin 更多。**

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