2020 AMC 12A 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.

一名司机以每小时 6060 英里的速度行驶 22 小时,在此期间她的汽车每加仑汽油可行驶 3030 英里。她每英里获得 $0.50\$0.50 报酬,唯一开销是每加仑 $2.00\$2.00 的汽油。扣除这项开销后,她每小时的净报酬是多少美元?

A driver travels for 22 hours at 6060 miles per hour, during which her car gets 3030 miles per gallon of gasoline. She is paid $0.50\$0.50 per mile, and her only expense is gasoline at $2.00\$2.00 per gallon. What is her net rate of pay, in dollars per hour, after this expense?

2020

2222

2424

2525

2626

答案:E
知识点:速率单位换算
难度评级:1130
解答:

22 小时内她行驶 120120 英里,收入为 120$0.50=$60120 \cdot \$0.50 = \$60

她用掉 120÷30=4120 \div 30 = 4 加仑汽油,花费 4$2.00=$84 \cdot \$2.00 = \$8

净收入为 $60$8=$52\$60 - \$8 = \$52, 因此每小时为 $52÷2=$26\$52 \div 2 = \$26

因此,正确答案是 E

In 22 hours she drives 120120 miles, earning 120$0.50=$60.120 \cdot \$0.50 = \$60.

She uses 120÷30=4120 \div 30 = 4 gallons, costing 4$2.00=$8.4 \cdot \$2.00 = \$8.

Her net earnings are $60$8=$52,\$60 - \$8 = \$52, so her rate is $52÷2=$26\$52 \div 2 = \$26 per hour.

Thus, E is the correct answer.

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