It takes a plane 40 minutes longer to fly from Boston to Los Angeles at 525 miles per hour than it does to return at 600 miles per hour. How far apart are the cities?

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  1. Let T be the shorter of the two times (in hours), and D be the distance

    600 T = D
    525 (T + 2/3) = D = 525 T + 350
    600 T = 525 T + 350
    75 T = 350
    T = 4 2/3 hours
    D = 600 T = 2800 miles

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