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+ <h2>Solutions of Savchenko Physics Textbook</h2>
+ <p class="author">
+ Aliaksandr Melnichenka <br/>
+ October 2023
+ </p>
+ </header>
+
+ <h3 id="back-link"><a href="../">$\leftarrow$Back</a></h3>
+
+ <h3> Statement </h3>
+ <p>
+ $1.1.4.$ Three microphones located on the same straight line at points $A$, $B$, $C$ recorded successively at the moments $t_A > t_B > t_C$ the sound of an explosion that occurred at point $O$, which lies on the segment $AC$. Find the length of the segment $AO$ if $AB = BC = L$. At what point in time did the explosion occur?
+<center>
+ <figure>
+ <img src="statement.png"
+ loading="lazy" width="230" />
+ <figcaption>
+ For problem 1.1.4
+ </figcaption>
+ </figure>
+</center>
+ </p>
+
+ <h3>Solution</h3>
+ <p>
+ <p>
+ 1. Let us introduce the following variables
+ </p>
+ <p>
+ $$x_B=L-x$$
+ </p>
+ <p>
+ $$t_A=t_B+\Delta t$$
+ </p>
+ <p>
+ 2. Time of flight of $\gamma$-quantum to counters
+ </p>
+ <p>
+ $$t_B+\Delta t=\frac{x}{c}$$
+ </p>
+ <p>
+ $$t_B=\frac{L-x}{c}$$
+ </p>
+ <p>
+ 3. Solving the equations together, we obtain
+ </p>
+ <p>
+ $$\frac{L-x}{c} + \Delta t = \frac{x}{c}$$
+ </p>
+ <p>
+ $$x= \frac{L+c\Delta t}{2}=1.15\,м$$
+ </p>
+ </p>
+
+ <h4>Answer</h4>
+ <p>
+ At a distance $1.15\, \text{m}$ from the microphone $A$
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