The time it will take the spider to crawl across the floor is [tex]0.8\text{ seconds}[/tex]
The formula relating the speed of the spider crawling across the floor, the distance it travels, and the time taken to cover that distance is
[tex]\text{speed}=\dfrac{\text{distance}}{\text{time}}[/tex]
From the question, we are given the speed of the spider as [tex]5m/s[/tex], and the distance covered as [tex]4m[/tex]. What we need to find is the time taken to cover a distance of [tex]4m[/tex] when crawling at a speed of [tex]5m/s[/tex].
Substituting the given values into the previous formula, we get
[tex]\text{speed}=\dfrac{\text{distance}}{\text{time}}\\\\5=\dfrac{4}{\text{time}}\\\\\implies 5\times \text{time}=\dfrac{4}{\text{time}}\times \text{time}\\\\\implies 5\times \text{time}=4\\\\\implies \dfrac{5\times \text{time}}{5}=\dfrac{4}{5}\\\\\implies \text{time}=\dfrac{4}{5}=0.8\text{ seconds}[/tex]
The time it will take will be [tex]0.8\text{ seconds}[/tex]
Learn more about speed, distance and time here https://brainly.com/question/2292310
