Questions: In a sprint to the finish line, a professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist travel in 3 seconds? You can use a table if it is helpful.

In a sprint to the finish line, a professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist travel in 3 seconds?

You can use a table if it is helpful.

Transcript text: In a sprint to the finish line, a professional cyclist travels 380 meters in 20 seconds. At that rate, how far does the cyclist travel in 3 seconds? You can use a table if it is helpful.

Solution

Solution Steps

To determine how far the cyclist travels in 3 seconds, we first need to calculate the cyclist's speed in meters per second. Then, we can use this speed to find the distance traveled in 3 seconds.

Step 1: Calculate Speed

The speed of the cyclist can be calculated using the formula:

\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{380 \, \text{meters}}{20 \, \text{seconds}} = 19.0 \, \text{m/s} \]

Step 2: Calculate Distance for 3 Seconds

To find the distance traveled in 3 seconds, we use the speed calculated in Step 1:

\[ \text{Distance} = \text{Speed} \times \text{Time} = 19.0 \, \text{m/s} \times 3 \, \text{seconds} = 57.0 \, \text{meters} \]