An athlete can swim 500 meters in a nearby lake in 9.2 minutes. At this same rate, estimate the amount of time it will take her to swim one mile ( 1609 meters). It will take the athlete approximately $$ \square $$ minutes to swim one mile. (Round to the nearest tenth as needed.)

Question

UpStudy AI · Accepted Answer

Given that the athlete swims $$500$$ meters in $$9.2$$ minutes, her rate is

$$
\text{Rate} = \frac{500 \text{ meters}}{9.2 \text{ minutes}}.
$$

To find the time $$t$$ required to swim $$1609$$ meters, we set up the proportion

$$
t = \frac{1609 \text{ meters}}{\text{Rate}} = \frac{1609}{500} \times 9.2.
$$

Calculating the factor first:

$$
\frac{1609}{500} \approx 3.218.
$$

Then multiplying by $$9.2$$ minutes:

$$
t \approx 3.218 \times 9.2 \approx 29.6 \text{ minutes}.
$$

Thus, it will take the athlete approximately $$29.6$$ minutes to swim one mile.
It will take the athlete approximately 29.6 minutes to swim one mile.

An athlete can swim 500 meters in a nearby lake in 9.2 minutes. At this same rate, estimate the amount of time it will take her to swim one mile ( 1609 meters). It will take the athlete approximately \( \square \) minutes to swim one mile. (Round to the nearest tenth as needed.)

Upstudy AI Solution

Answer

Solution

The Deep Dive

Related Questions

Latest Arithmetic Questions