A train leaves the station at 10:00 am and travels due south at a speed of 60km/h. Another train has been heading due west at 45km/h and reaches the same station at 11:00 am. At what time were the two trains closest together?

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A train leaves the station at 10:00 am and travels due south at a speed of 60km/h. Another train has been heading due west at 45km/h and reaches the same station at 11:00 am. At what time were the two trains closest together?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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equation is square root of (60t)^2 + square root of (45-45t)^2

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