Question
Cathy ran 10 meters in 2 seconds. How much time did she take to complete 100 meters?
0.20 seconds
2.0 seconds
20 seconds
200 seconds
0.20 seconds
2.0 seconds
20 seconds
200 seconds
Answers
GPT-4o mini
To determine how much time Cathy would take to run 100 meters, we first need to calculate her speed.
Cathy ran 10 meters in 2 seconds. Therefore, her speed is:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{10 \text{ meters}}{2 \text{ seconds}} = 5 \text{ meters per second}
\]
Next, we can use this speed to find out how long it would take her to run 100 meters. We can use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Substituting in the values:
\[
\text{Time} = \frac{100 \text{ meters}}{5 \text{ meters per second}} = 20 \text{ seconds}
\]
Thus, Cathy would take **20 seconds** to complete 100 meters.
Cathy ran 10 meters in 2 seconds. Therefore, her speed is:
\[
\text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{10 \text{ meters}}{2 \text{ seconds}} = 5 \text{ meters per second}
\]
Next, we can use this speed to find out how long it would take her to run 100 meters. We can use the formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
Substituting in the values:
\[
\text{Time} = \frac{100 \text{ meters}}{5 \text{ meters per second}} = 20 \text{ seconds}
\]
Thus, Cathy would take **20 seconds** to complete 100 meters.