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The image contains a math problem involving Adele and Justine running a race. Here is the transcription and the solution to the problem:

### Problem:
Adele and Justine ran in a race. When Justine had completed the race in 15 minutes, Adele had only run \(\frac{2}{3}\) of the distance. Adele's speed for the race was 64 m/min less than Justine's.

(a) Find Adele's speed in m/min.  
(b) Find the distance of the race.

### Solution:

Let:
- \( v_j \) be Justine's speed in m/min.
- \( v_a \) be Adele's speed in m/min.
- \( d \) be the total distance of the race in meters.

From the problem, we have the following relationships:

1. Justine's speed: 
   \[
   v_j = \frac{d}{15}
   \]
   since she completes the race in 15 minutes.

2. Adele's speed is given as 64 m/min less than Justine's speed:
   \[
   v_a = v_j - 64
   \]

3. Adele has run \(\frac{2}{3}\) of the distance when Justine finished, so the time Adele took to run \(\frac{2}{3}\) of the distance can be expressed as:
   \[
   \frac{2d}{3} = v_a \times 15
   \]

Substituting \( v_a = v_j - 64 \):

\[
\frac{2d}{3} = (v_j - 64) \times 15
\]

Now substitute \( v_j = \frac{d}{15} \):

\[
\frac{2d}{3} = \left(\frac{d}{15} - 64\right) \times 15
\]

Simplify:

\[
\frac{2d}{3} = d - 960
\]

Multiplying through by 3:

\[
2d = 3d - 2880
\]

\[
d = 2880
\]

So, the total distance of the race is 2880 meters.

Now find Adele's speed:

\[
v_j = \frac{2880}{15} = 192 \text{ m/min}
\]

\[
v_a = 192 - 64 = 128 \text{ m/min}
\]

### Answers:
(a) Adele's speed is 128 m/min.  
(b) The distance of the race is 2880 meters.

Would you like any more details or have further questions?

Here are some related questions you might find helpful:
1. How do you convert between speed, distance, and time?
2. What are some common units of speed, and how do you convert between them?
3. How do you solve problems involving relative speeds?
4. How can you set up equations from word problems involving motion?
5. What are some tips for solving problems with fractions in equations?

**Tip:** Always check your units to make sure your calculations make sense in the context of the problem.

Adele and Justine ran in a race. When Justine had completed the race in 15 minutes, Adele had only run 2/3 of the distance. Adele's speed for the race was 64 m/min less than Justine's. (a) Find Adele's speed in m/min. (b) Find the distance of the race.

Solve a problem involving Adele and Justine running a race, where Adele runs at a speed 64 m/min slower than Justine. Learn how to calculate Adele's speed and the total distance of the race using algebraic methods. Suitable for Grades 7-9.

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