The image you've uploaded contains a word problem related to distance, time, and velocity, and provides a quadratic equation. The problem asks you to find the solution for time (t) based on the given equation.

Let's break it down:

Problem Statement (Paraphrased): A car travels a certain distance, first at 25 miles per hour (mph) and then returns over the same distance at 20 mph. The total time for the journey is given as 6.5 hours. You need to determine the time taken for one part of the journey, $t$. The equation given to solve this is:

$\frac{t}{25} + \frac{t}{20} = 6.5$

Options:

1. $t = 3.08$ hours
2. $t = 3.43$ and $t = 3.08$ hours
3. $t = 6.51$ and $t = 3.08$ hours
4. $t = 2.58$, $t = 6.52$, and $t = 3.08$ hours

Step-by-Step Solution:

1. Write down the equation: $\frac{t}{25} + \frac{t}{20} = 6.5$

2. Clear the fractions by multiplying through by the least common denominator (LCD): The LCD of 25 and 20 is 100. Multiply every term by 100: $100\left(\frac{t}{25}\right) + 100\left(\frac{t}{20}\right) = 100(6.5)$

   This simplifies to: $4t + 5t = 650$

3. Combine like terms: $9t = 650$

4. Solve for $t$: [ t = \frac{650}{9