题目

­A certain jar has a capacity of 1284 jelly beans. How many minutes will it take to fill the jar to capacity?


(1) A person can fill the jar at a rate of 2 Jelly beans per second.


(2) It takes 6 times as long to fill the jas as it does to empty it, and it takes a total of 12 minutes and 29 seconds to do both.

选项

A.

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


B.

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


C.

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


D.

EACH statement ALONE is sufficient.


E.

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

解析

某个罐子能容纳1284颗糖豆。要将罐子装满需要多少分钟? (1)一个人每秒可以装2颗糖豆。 (2)装满罐子所花的时间是倒空罐子所花时间的6倍,而装满和倒空罐子总共需要12分29秒。 - **对于陈述(1)** - 已知每人每秒装2颗糖豆,这是单人工作效率。但没有给出具体几个人工作,所以陈述(1)单独不足以回答问题。 - **对于陈述(2)** - 设倒空罐子需要\(x\)秒,那么装满罐子需要\(6x\)秒。 - 已知装满和倒空总共需要\(12\)分钟\(29\)秒,即\(12\times60+29 = 749\)秒。 - 则\(x + 6x=749\),解得\(x = 107\)秒,所以装满罐子需要\(6x = 642\)秒,转化为分钟约为\(10.7\)分钟,所以陈述(2)单独也足以回答问题。 综上,每个陈述单独都足以回答问题,答案是D。
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