John gets on the elevator at the 14th floor of a building and rides up at the rate of 84 floors per minute. At the same time, Vinod gets on an elevator at the 58th floor of the same building and rides down at the rate of 92 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?

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John gets on the elevator at the 14<span class='superscript'>th</span> floor of a building and rides up at the rate of 84 floors per minute. At the same time, Vinod gets on an elevator at the 58<span class='superscript'>th</span> floor of the same building and rides down at the rate of 92 floors per minute. If they continue travelling at these rates, then at which floor will their paths cross?