2020 AMC 10A Problem 4

Attempt Problem 4 of the 2020 AMC 10A below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 10A solutions, or check the answer key.

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4.

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

Answer: E
Concepts:ratemoney
Difficulty rating: 900
Video solution:
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Written solution:

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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