Question

A driver travels for $2$ hours at $60$ miles per hour, during which her car gets $30$ miles per gallon of gasoline. She is paid $\$0.50$ per mile, and her only expense is gasoline at $\$2.00$ per gallon. What is her net rate of pay, in dollars per hour, after this expense?

$20$

$22$

$24$

$25$

$26$

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Written solution:

The driver travels $2\cdot60=120$ miles, so she is paid $120\cdot \$0.50=\$60$ . The trip uses $120/30=4$ gallons of gasoline, costing $4\cdot\$2=\$8$ . Her net pay is $60-8=52$ dollars over $2$ hours, or $26$ dollars per hour. Thus, E is the correct answer.

2020 AMC 10A Problem 4

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Problem 4 in Other Years