Question

In John gets on the elevator at the 14
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?​

Answer 1

Given : John gets on the elevator at the 14  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.

To find : at which floor will their paths cross

Solution:

John gets on the elevator at the 14  floor of a building

Vinod gets on an elevator at the  58th floor of the same building

Difference between floors = 58 - 14  = 44

Let say they meet after t minutes

John  rides up at the  rate of 84 floors per minute

floor rised up = 84t

Vinod  rides  down at the rate of 92 floors per minute

floor downed = 92t

84t  + 92t  = 44

=> 176t = 44

=> t = 1/4  

Floor they met = 14 + 84t    or   58  - 92t

= 14 + 84/4   or  58 - 92/4

= 14 + 21   or 58 - 22

= 35

At 35th floor they will cross their path

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Answer 2

Step-by-step explanation:

✏️ QUESTION ✏️

In John gets on the elevator at the 14

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?

✏️ ANSWER ✏️

let say they meet after n min

14+84n=58-92n

76n=44

n=44/76=1/4

floor they meet

=14+84n

=14+84*1/4=35

therefore,

✴️they again meet at 35 min✴️