Brian ran a 5-kilometer race in 40 minutes. How far did he run in 18 minutes? Write your answer as a decimal and do not round.(1 point)

Question

$$

Answer 1

\text{Distance} = \text{Rate} \times \text{Time}
$$
The distance Brian ran is given as 5 kilometers and the time he ran is 40 minutes. We can use this information to calculate his rate:
$$
5\text{ kilometers} = \text{Rate} \times 40\text{ minutes}
$$
Dividing both sides by 40 minutes:
$$
\frac{5\text{ kilometers}}{40\text{ minutes}} = \text{Rate}
$$
Simplifying the fraction:
$$
\frac{1}{8}\text{ kilometer per minute} = \text{Rate}
$$
Now we can use his rate to find how far he ran in 18 minutes:
$$
\text{Distance} = \text{Rate} \times \text{Time} = \left(\frac{1}{8}\text{ kilometer per minute}\right) \times 18\text{ minutes}
$$
Multiplying the rate and time together:
$$
\text{Distance} = \frac{1}{8} \times 18\text{ kilometers}
$$
Simplifying the expression:
$$
\text{Distance} = \frac{18}{8}\text{ kilometers} = \boxed{2.25}\text{ kilometers}
$$