Elevator takes
to reach sixteenth floor from first floor.
Further explanation:
Given:
It takes an elevator 4 seconds to travel from the first floor to the fourth floor.
Explanation:
The total floors travelled by the elevator in 4 seconds can be calculated as follows,
![\begin{aligned}{\text{Total floors}} &= 4 - 1 \\ &= 3 \\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7B%5Ctext%7BTotal%20floors%7D%7D%20%26%3D%204%20-%201%20%5C%5C%20%26%3D%203%20%5C%5C%5Cend%7Baligned%7D)
Consider the time taken by the elevator to reach sixteenth floor from first floor as ![y{\text{ seconds}}.](https://tex.z-dn.net/?f=y%7B%5Ctext%7B%20seconds%7D%7D.)
Total floors between first and sixteenth can be calculated as follows,
![\begin{aligned}{\text{Total floors}} &= 16 - 1\\&= 15\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%7B%5Ctext%7BTotal%20floors%7D%7D%20%26%3D%2016%20-%201%5C%5C%26%3D%2015%5C%5C%5Cend%7Baligned%7D)
The time taken by the elevator to reach sixteenth floor from first floor can be obtained as follows,
![\begin{aligned}\frac{4}{y} &= \frac{3}{{15}}\\4 \times 15 &= 3 \times y\\60 &= 3y\\\frac{{60}}{3} &= y\\20 &= y\\\end{aligned}](https://tex.z-dn.net/?f=%5Cbegin%7Baligned%7D%5Cfrac%7B4%7D%7By%7D%20%26%3D%20%5Cfrac%7B3%7D%7B%7B15%7D%7D%5C%5C4%20%5Ctimes%2015%20%26%3D%203%20%5Ctimes%20y%5C%5C60%20%26%3D%203y%5C%5C%5Cfrac%7B%7B60%7D%7D%7B3%7D%20%26%3D%20y%5C%5C20%20%26%3D%20y%5C%5C%5Cend%7Baligned%7D)
Elevator takes
to reach sixteenth floor from first floor.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Linear equation
Keywords: elevator, 4 seconds, first floor, fourth floor, sixteenth floor, travel, long, takes, numbers, slope, slope intercept, equation,