2020 AMC 10A 第 4 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。

4.

一名司机开车 22 小时,速度为每小时 6060 英里,在此期间汽车每加仑汽油可行驶 3030 英里。她每行驶一英里获得 $0.50\$0.50 报酬,唯一开销是每加仑价格为 $2.00\$2.00 的汽油。扣除汽油费用后,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:速率钱币
难度评级:900
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文字解答:

她行驶 260=1202\cdot60=120 英里,所以收入为 120$0.50=$60120\cdot \$0.50=\$60。这次行程用汽油 120/30=4120/30=4 加仑,花费 4$2=$84\cdot\$2=\$8。净收入为 608=5260-8=52 美元,用时 22 小时,所以每小时净报酬为 2626 美元。正确答案是 E

The driver travels 260=1202\cdot60=120 miles, so she is paid 120$0.50=$60120\cdot \$0.50=\$60. The trip uses 120/30=4120/30=4 gallons of gasoline, costing 4$2=$84\cdot\$2=\$8. Her net pay is 608=5260-8=52 dollars over 22 hours, or 2626 dollars per hour. Thus, E is the correct answer.

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