To find out how far Brian ran in 18 minutes, we first need to determine his speed.
-
Calculate his speed:
Brian ran 5 kilometers in 40 minutes.
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{5 \text{ km}}{40 \text{ min}} = \frac{5}{40} \text{ km/min} = \frac{1}{8} \text{ km/min} \]
-
Calculate the distance he ran in 18 minutes:
Now, we can use his speed to find out how far he ran in 18 minutes.
\[ \text{Distance} = \text{Speed} \times \text{Time} = \left(\frac{1}{8} \text{ km/min}\right) \times 18 \text{ min} \]
\[ \text{Distance} = \frac{18}{8} \text{ km} = \frac{9}{4} \text{ km} = 2.25 \text{ km} \]
Thus, the distance Brian ran in 18 minutes is \( \boxed{2.25} \) kilometers.