Answer:
[tex]\Delta t = \dfrac{\Delta x}{v} \\\\[/tex]
Explanation:
Given the expression [tex]v\:=\dfrac{\Delta x}{\Delta t}[/tex], we are to find the value of Δt from the expression. To find Δt, we will make Δt the subject of the formula from the given expression as shown;
[tex]v\:=\dfrac{\Delta x}{\Delta t}\\\\cross\ multiply\\\\v*\Delta t = \Delta x\\\\Divide \ both\ sides \ of\ the \ resulting \ equation \ by \ v\\\\\dfrac{v*\Delta t}{v} = \dfrac{\Delta x}{v} \\\\\Delta t = \dfrac{\Delta x}{v} \\\\[/tex]
Hence the equivalent expression for [tex]\Delta t = \dfrac{\Delta x}{v} \\\\[/tex].