To determine how far Justin can ride his bike in 6 minutes, we first need to calculate Justin's biking speed.
Justin biked 2 km in 8 minutes. To find his speed in kilometers per minute, we can use the formula:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} \]
So for Justin:
\[ \text{Speed} = \frac{2 \text{ km}}{8 \text{ minutes}} = \frac{1}{4} \text{ km/minute} \]
Now that we know Justin's biking speed is \( \frac{1}{4} \) km per minute, we can calculate how far he can ride in 6 minutes.
Using the formula:
\[ \text{Distance} = \text{Speed} \times \text{Time} \]
Substituting in Justin's speed and the time:
\[ \text{Distance} = \left(\frac{1}{4} \text{ km/minute}\right) \times 6 \text{ minutes} \]
Calculating this gives:
\[ \text{Distance} = \frac{6}{4} \text{ km} = 1.5 \text{ km} \]
Thus, in 6 minutes, Justin can ride his bike 1.5 km.