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At the moment when Alice passes Jane, she has traveled one less hour than Jane,
and they have both traveled the same distance.
Let 'H' be the number of hours since 7 AM.
Jane's distance is 40H. Alice's distance is 50(H-1). The distances are equal.
40H = 50(H-1) = 50H - 50
Add 50 to each side:
40H + 50 = 50H
Subtract 40H from each side:
50 = 10H
Divide each side by 10:
5 = H
They wave at (7 + 5) = 12:00 Noon.
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