Calculate Hugo's Average Speed: Completing a 4x25m Swim with Strategic Breaks

To solve this problem, we need to determine Hugo's average speed during his swimming competition. This involves calculating the total distance he swam and the total time taken, including rest periods.

First, let's calculate the total distance Hugo swims: each length of the pool is 25 meters and he swims 4 lengths, so the total distance is:

• Total distance = $4 \times 25 = 100$ meters

Next, we determine the total time Hugo takes:

• Time for the first 25 meters = 43 seconds
• Time for the second 25 meters:
• He swims at 0.75 meters per second, so time is calculated as $\frac{25}{0.75} = 33.33...$ seconds (approximately 33.33 seconds)
• Time for rest = 4 seconds
• Time for the last two 25-meter lengths = 89 seconds

So, the total time Hugo takes is:

• Total time = $43 + 33.33 + 4 + 89 = 169.33$ seconds

Now, we use the formula for average speed:

• Average speed = $\frac{\text{Total distance}}{\text{Total time}} = \frac{100}{169.33} \approx 0.59$ meters per second

Therefore, the average speed of Hugo during the competition is approximately $0.59$ meters per second.