AMC 8 2004 Problem 10

AMC8 2004 年第 10 题

表达式与运算★★☆☆☆

Handy Aaron helped a neighbor

1 \frac14

hours on Monday, 50 minutes on Tuesday, from 8:20 to 10:45 on Wednesday morning, and a half-hour on Friday. He is paid $3 per hour. How much did he earn for the week?

Handy Aaron 帮邻居干活：周一花了

\displaystyle 1\frac{1}{4}

小时，周二花了 50 分钟，周三早上从 8:20 干到 10:45，周五花了半小时。已知他每小时工资是 3 美元，那么他这一周赚了多少钱？

A.$8
B.$9
C.$10
D.$12
E.$15

正确答案 · Correct Answer

解析 · Solution

Solution 1

Let's convert everything to minutes and add them together. On Monday he worked for

\frac54 \cdot 60 = 75

minutes. On Tuesday he worked 50 minutes. On Wednesday he worked for 2 hours 25 minutes, or 2(60)+25=145 minutes. On Friday he worked

\displaystyle \frac{60}{2} = 30

minutes. This adds up to 75+50+145+30=300 minutes, or

\displaystyle \frac{300}{60} = 5

hours and

5\cdot 3 = \$15

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