To determine how far Sydney would drive in 180 minutes, we first need to establish her driving rate.
Sydney drove 45 miles in 90 minutes. To find her rate in miles per minute:
-
Calculate the rate: \[ \text{Rate} = \frac{45 \text{ miles}}{90 \text{ minutes}} = 0.5 \text{ miles per minute} \]
-
Now, calculate how far she would drive in 180 minutes at this rate: \[ \text{Distance} = \text{Rate} \times \text{Time} = 0.5 \text{ miles/minute} \times 180 \text{ minutes} = 90 \text{ miles} \]
So, Sydney would drive 90 miles in 180 minutes.