SOLUTION: Tom gets on the elevator at the 11th floor and rides up at a rate of 57 floors per minute. At the same time, Jan gets on an elevator on the 51st floor and rides down at a rate of 6

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Question 533990: Tom gets on the elevator at the 11th floor and rides up at a rate of 57 floors per minute. At the same time, Jan gets on an elevator on the 51st floor and rides down at a rate of 63 floors per minute. If they continue traveling at these rates, at which floor will their paths cross?
Answer by ankor@dixie-net.com(15656) About Me  (Show Source):
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Tom gets on the elevator at the 11th floor and rides up at a rate of 57 floors per minute.
At the same time, Jan gets on an elevator on the 51st floor and rides down at a rate of 63 floors per minute.
If they continue traveling at these rates, at which floor will their paths cross?
:
find the time (t) at which this will occur
11 + 57t = 51 - 63t
57t + 63t = 51 - 11
120t = 40
t = 40%2F120%7D%7D%0D%0At+=+%7B%7B%7B1%2F3 min travel time when they meet
:
Find the floor they should meet at, using Tom's elevator
11 + 57%281%2F3%29 = 30th floor
Check this using Jan's elevator
51 - 63%281%2F3%29 = 30th floor