# 2020 AMC 10A Problems/Problem 4

The following problem is from both the 2020 AMC 12A #3 and 2020 AMC 10A #4, so both problems redirect to this page.

## Problem

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?

$\textbf{(A)}\ 20\qquad\textbf{(B)}\ 22\qquad\textbf{(C)}\ 24\qquad\textbf{(D)}\ 25\qquad\textbf{(E)}\ 26$

## Solution 1

Since the driver travels $60$ miles per hour and each hour she uses $2$ gallons of gasoline, she spends $4$ per hour on gas. If she gets $0.50$ per mile, then she gets $30$ per hour of driving. Subtracting the gas cost, her net rate of money earned per hour is $\boxed{\textbf{(E)}\ 26}$. ~mathsmiley

## Solution 2 (longer)

The driver is driving for $2$ hours at $60$ miles per hour, she drives $120$ miles. Therefore, she uses $\frac{120}{30}=4$ gallons of gasoline. So, total she has $0.50\cdot120-2.00\cdot4=60-8=52$. So, her rate is $\frac{52}{2}=\boxed{\textbf{(E)}\ 26}$. ~sosiaops

## Video Solution 1

~Education, the Study of Everything

~IceMatrix

~bobthefam

~savannahsolver