It takes an elevator 5 seconds to travel from the first floor to the fourth floor. How long does...

Question:

It takes an elevator 5 seconds to travel from the first floor to the fourth floor. How long does it take the elevator to travel from the first floor to the sixteenth floor?

Elevators:

The first recorded construction of an elevator-like device to make a vertical ascent easier was the device made by the Greek mathematician and inventor Archimedes in the middle of 200 BC.

Answer and Explanation:

It takes 5 seconds to go up 4 floors. Using this ratio in the proportion below will determine the time it takes to get to the 16th floor:

{eq}\begin{align} \rm \dfrac {5 \ seconds}{4 \ floors} &= \rm \dfrac {x \ seconds}{16 \ floors} \\ \dfrac 5 4 &= \dfrac x {16} \\ \dfrac {(5)(16)} 4 &= x \\ x &= (5)(4) \\ x &= 20 \end{align} {/eq}

It will take {eq}20 \rm \ seconds {/eq} for the elevator to travel from the 1st floor to the 16th floor.


Learn more about this topic:

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Ratios and Proportions: Definition and Examples

from Geometry: High School

Chapter 7 / Lesson 1
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