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?	Answers.
A) 31	B) 32	C) 33	D) 34	E) 35
Let their paths cross after x minutes   Then,   84x + 92x = 58 - 14   =&gt; 176x = 44   ⇒x=44/176=1/4   Number of floors covered by John in these 1/4 minute=84×1/4=21   Hence, their path cross at 14 + 21= 
<gadget id="calculator">14 + 21</gadget>
<output>35</output>
35, i.e., at 35th floor   Answer is 35.
<result>E</result>
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?