2018 AMC 12B Problems/Problem 3

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A line with slope 2 intersects a line with slope 6 at the point $(40,30)$. What is the distance between the x-intercepts of these two lines?

$(\text{A}) 5 \qquad (\text{B}) 10 \qquad (\text{C}) 20 \qquad (\text{D}) 25 \qquad (\text{E}) 50$